What is the Least Common Multiple of 61512 and 61524?

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 61512 and 61524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61512 and 61524, than apply into the LCM equation.

GCF(61512,61524) = 12
LCM(61512,61524) = ( 61512 × 61524) / 12
LCM(61512,61524) = 3784464288 / 12
LCM(61512,61524) = 315372024

Least Common Multiple (LCM) of 61512 and 61524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61512 and 61524. First we will calculate the prime factors of 61512 and 61524.

Prime Factorization of 61512

Prime Factorization of 61524

Now multiplying the highest exponent prime factors to calculate the LCM of 61512 and 61524.

LCM(61512,61524) = 2³ × 3² × 11¹ × 233¹ × 1709¹
LCM(61512,61524) = 315372024