What is the Least Common Multiple of 64944 and 64953?

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 64953 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 64953, than apply into the LCM equation.

GCF(64944,64953) = 9
LCM(64944,64953) = ( 64944 × 64953) / 9
LCM(64944,64953) = 4218307632 / 9
LCM(64944,64953) = 468700848

Least Common Multiple (LCM) of 64944 and 64953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64944 and 64953. First we will calculate the prime factors of 64944 and 64953.

Prime Factorization of 64944

Prime Factorization of 64953

Now multiplying the highest exponent prime factors to calculate the LCM of 64944 and 64953.

LCM(64944,64953) = 2⁴ × 3² × 11¹ × 41¹ × 7¹ × 1031¹
LCM(64944,64953) = 468700848