What is the Least Common Multiple of 7256 and 7272?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 7256 and 7272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7256 and 7272, than apply into the LCM equation.

GCF(7256,7272) = 8
LCM(7256,7272) = ( 7256 × 7272) / 8
LCM(7256,7272) = 52765632 / 8
LCM(7256,7272) = 6595704

Least Common Multiple (LCM) of 7256 and 7272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7256 and 7272. First we will calculate the prime factors of 7256 and 7272.

Prime Factorization of 7256

Prime Factorization of 7272

Now multiplying the highest exponent prime factors to calculate the LCM of 7256 and 7272.

LCM(7256,7272) = 2³ × 907¹ × 3² × 101¹
LCM(7256,7272) = 6595704