GCF and LCM of 54 and 72
The greatest common factor and least common multiple of 54 and 72.
GCF of 54 and 72
18
LCM of 54 and 72
216
How it works
Break each number into its prime factors:
- 54 = 2 × 3³
- 72 = 2³ × 3²
The GCF (18) multiplies the primes both share, at the lowest power each appears. The LCM (216) multiplies every prime that appears in either number, at the highest power — which is also 54 × 72 ÷ 18 = 216.
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Frequently asked questions
What is the GCF of 54 and 72?+
The greatest common factor (GCF) of 54 and 72 is 18 — the largest number that divides both 54 and 72 with no remainder.
What is the LCM of 54 and 72?+
The least common multiple (LCM) of 54 and 72 is 216 — the smallest number that both 54 and 72 divide into. It equals 54 × 72 ÷ GCF = 3888 ÷ 18 = 216.