The opening verses of chapter 4 provide the hermeneutic context for what is stated in verse 15.
Paul cites Abraham as believing the promises of God (even though he had to wait decades for the promise of a God-provided heir, then showed faith in being prepared to later sacrifice that heir, at God's command). God had not yet given his perfect Law for his people, at Sinai. Yet Abraham walked with God, in faith, believing God.
Lawlessness can be either ignoring law - living without regard to law - as well as deliberately breaking law. When it is the law of God that people either think they can do without, or view their failures as being just brushed aside by God, they sin. And, "The wages of sin is death" (Romans 6:23). Sinners are never viewed by God as being righteous: "For there is no-one righteous, no, not even one" (Romans 3:10); and
"...the righteousness of God [is] through the faith of Jesus Christ to
all, and upon all those believing - for there is no difference, for
all did sin, and are come short of the glory of God - being declared
righteous freely by His grace through the redemption that [is] in
Christ Jesus." Romans 3:22-24 YLT
The righteous Law of God is perfect because God is perfect. This means that as nobody is righteous, nobody can perfectly keep God's perfect law and will thus be judged a sinner by God. That is why the scripture states that
"For whosoever shall keep the whole law, and yet offend in one point,
he is guilty of all." James 2:10 A.V.
This offends people who fail to realise that this speaks of God's perfect law; not human law. Knowing that no sinner could ever keep his law, God provided the way in which repentant sinners could have all their sin dealt with by him, in righteousness. To those who put faith in that provision of grace - Christ bearing the wrath of God for sin, though he was sinless - this applies to those who were dead in their sins but whom God raised to new life, in Christ:
"[God] made alive together with him, having forgiven you all the
trespasses, having blotted out the handwriting in the ordinances that
is against us, that was contrary to us, and he hath taken it out of
the way, having nailed it to the cross." Colossians 2:14 YLT
The perfect law that condemns us, has been taken out of the way, being symbolically nailed to the cross. It takes faith to believe what Christ accomplished, but once the magnitude of what was righteously achieved is believed by us in faith, we are forgiven; not because we did anything to deserve forgiveness - quite to the contrary - but because this is the gift of God to all who put faith in the Son. Then we can walk with God, in faith, believing God, as did Abraham.
To such ones, the law that was against them has been taken out of the way, by God. Our transgressions have thus been lifted up and away, through his righteous transaction at the cross. That is why Paul could say in Romans 4:15 that now there is no law, and thus no transgression - for those of faith.