What is the Least Common Multiple of 64908 and 64917?

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 64908 and 64917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64908 and 64917, than apply into the LCM equation.

GCF(64908,64917) = 9
LCM(64908,64917) = ( 64908 × 64917) / 9
LCM(64908,64917) = 4213632636 / 9
LCM(64908,64917) = 468181404

Least Common Multiple (LCM) of 64908 and 64917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64908 and 64917. First we will calculate the prime factors of 64908 and 64917.

Prime Factorization of 64908

Prime Factorization of 64917

Now multiplying the highest exponent prime factors to calculate the LCM of 64908 and 64917.

LCM(64908,64917) = 2² × 3³ × 601¹ × 7213¹
LCM(64908,64917) = 468181404