What is the Least Common Multiple of 64358 and 64378?

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 64358 and 64378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64358 and 64378, than apply into the LCM equation.

GCF(64358,64378) = 2
LCM(64358,64378) = ( 64358 × 64378) / 2
LCM(64358,64378) = 4143239324 / 2
LCM(64358,64378) = 2071619662

Least Common Multiple (LCM) of 64358 and 64378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64358 and 64378. First we will calculate the prime factors of 64358 and 64378.

Prime Factorization of 64358

Prime Factorization of 64378

Now multiplying the highest exponent prime factors to calculate the LCM of 64358 and 64378.

LCM(64358,64378) = 2¹ × 7¹ × 4597¹ × 32189¹
LCM(64358,64378) = 2071619662