What is the Least Common Multiple of 64425 and 64440?

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 64425 and 64440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64425 and 64440, than apply into the LCM equation.

GCF(64425,64440) = 15
LCM(64425,64440) = ( 64425 × 64440) / 15
LCM(64425,64440) = 4151547000 / 15
LCM(64425,64440) = 276769800

Least Common Multiple (LCM) of 64425 and 64440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64425 and 64440. First we will calculate the prime factors of 64425 and 64440.

Prime Factorization of 64425

Prime Factorization of 64440

Now multiplying the highest exponent prime factors to calculate the LCM of 64425 and 64440.

LCM(64425,64440) = 3² × 5² × 859¹ × 2³ × 179¹
LCM(64425,64440) = 276769800