What is the Least Common Multiple of 61257 and 61272?

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 61257 and 61272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61257 and 61272, than apply into the LCM equation.

GCF(61257,61272) = 3
LCM(61257,61272) = ( 61257 × 61272) / 3
LCM(61257,61272) = 3753338904 / 3
LCM(61257,61272) = 1251112968

Least Common Multiple (LCM) of 61257 and 61272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61257 and 61272. First we will calculate the prime factors of 61257 and 61272.

Prime Factorization of 61257

Prime Factorization of 61272

Now multiplying the highest exponent prime factors to calculate the LCM of 61257 and 61272.

LCM(61257,61272) = 3² × 7¹ × 2917¹ × 2³ × 23¹ × 37¹
LCM(61257,61272) = 1251112968