What is the Least Common Multiple of 87456 and 87468?

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 87456 and 87468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87456 and 87468, than apply into the LCM equation.

GCF(87456,87468) = 12
LCM(87456,87468) = ( 87456 × 87468) / 12
LCM(87456,87468) = 7649601408 / 12
LCM(87456,87468) = 637466784

Least Common Multiple (LCM) of 87456 and 87468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87456 and 87468. First we will calculate the prime factors of 87456 and 87468.

Prime Factorization of 87456

Prime Factorization of 87468

Now multiplying the highest exponent prime factors to calculate the LCM of 87456 and 87468.

LCM(87456,87468) = 2⁵ × 3¹ × 911¹ × 37¹ × 197¹
LCM(87456,87468) = 637466784