What is the Least Common Multiple of 64944 and 64962?

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 64944 and 64962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64944 and 64962, than apply into the LCM equation.

GCF(64944,64962) = 18
LCM(64944,64962) = ( 64944 × 64962) / 18
LCM(64944,64962) = 4218892128 / 18
LCM(64944,64962) = 234382896

Least Common Multiple (LCM) of 64944 and 64962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64944 and 64962. First we will calculate the prime factors of 64944 and 64962.

Prime Factorization of 64944

Prime Factorization of 64962

Now multiplying the highest exponent prime factors to calculate the LCM of 64944 and 64962.

LCM(64944,64962) = 2⁴ × 3⁴ × 11¹ × 41¹ × 401¹
LCM(64944,64962) = 234382896