What is the Least Common Multiple of 17256 and 17272?

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 17256 and 17272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17256 and 17272, than apply into the LCM equation.

GCF(17256,17272) = 8
LCM(17256,17272) = ( 17256 × 17272) / 8
LCM(17256,17272) = 298045632 / 8
LCM(17256,17272) = 37255704

Least Common Multiple (LCM) of 17256 and 17272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17256 and 17272. First we will calculate the prime factors of 17256 and 17272.

Prime Factorization of 17256

Prime Factorization of 17272

Now multiplying the highest exponent prime factors to calculate the LCM of 17256 and 17272.

LCM(17256,17272) = 2³ × 3¹ × 719¹ × 17¹ × 127¹
LCM(17256,17272) = 37255704