What is the Least Common Multiple of 76512 and 76524?

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 76512 and 76524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76512 and 76524, than apply into the LCM equation.

GCF(76512,76524) = 12
LCM(76512,76524) = ( 76512 × 76524) / 12
LCM(76512,76524) = 5855004288 / 12
LCM(76512,76524) = 487917024

Least Common Multiple (LCM) of 76512 and 76524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76512 and 76524. First we will calculate the prime factors of 76512 and 76524.

Prime Factorization of 76512

Prime Factorization of 76524

Now multiplying the highest exponent prime factors to calculate the LCM of 76512 and 76524.

LCM(76512,76524) = 2⁵ × 3¹ × 797¹ × 7¹ × 911¹
LCM(76512,76524) = 487917024