What is the Least Common Multiple of 64368 and 64376?

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 64368 and 64376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64368 and 64376, than apply into the LCM equation.

GCF(64368,64376) = 8
LCM(64368,64376) = ( 64368 × 64376) / 8
LCM(64368,64376) = 4143754368 / 8
LCM(64368,64376) = 517969296

Least Common Multiple (LCM) of 64368 and 64376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64368 and 64376. First we will calculate the prime factors of 64368 and 64376.

Prime Factorization of 64368

Prime Factorization of 64376

Now multiplying the highest exponent prime factors to calculate the LCM of 64368 and 64376.

LCM(64368,64376) = 2⁴ × 3³ × 149¹ × 13¹ × 619¹
LCM(64368,64376) = 517969296