What is the Least Common Multiple of 64889 and 64900?

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 64889 and 64900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64889 and 64900, than apply into the LCM equation.

GCF(64889,64900) = 11
LCM(64889,64900) = ( 64889 × 64900) / 11
LCM(64889,64900) = 4211296100 / 11
LCM(64889,64900) = 382845100

Least Common Multiple (LCM) of 64889 and 64900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64889 and 64900. First we will calculate the prime factors of 64889 and 64900.

Prime Factorization of 64889

Prime Factorization of 64900

Now multiplying the highest exponent prime factors to calculate the LCM of 64889 and 64900.

LCM(64889,64900) = 11¹ × 17¹ × 347¹ × 2² × 5² × 59¹
LCM(64889,64900) = 382845100