What is the Least Common Multiple of 64457 and 64472?

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 64457 and 64472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64457 and 64472, than apply into the LCM equation.

GCF(64457,64472) = 1
LCM(64457,64472) = ( 64457 × 64472) / 1
LCM(64457,64472) = 4155671704 / 1
LCM(64457,64472) = 4155671704

Least Common Multiple (LCM) of 64457 and 64472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64457 and 64472. First we will calculate the prime factors of 64457 and 64472.

Prime Factorization of 64457

Prime Factorization of 64472

Now multiplying the highest exponent prime factors to calculate the LCM of 64457 and 64472.

LCM(64457,64472) = 43¹ × 1499¹ × 2³ × 8059¹
LCM(64457,64472) = 4155671704