What is the Least Common Multiple of 64875 and 64884?

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 64875 and 64884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64875 and 64884, than apply into the LCM equation.

GCF(64875,64884) = 3
LCM(64875,64884) = ( 64875 × 64884) / 3
LCM(64875,64884) = 4209349500 / 3
LCM(64875,64884) = 1403116500

Least Common Multiple (LCM) of 64875 and 64884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64875 and 64884. First we will calculate the prime factors of 64875 and 64884.

Prime Factorization of 64875

Prime Factorization of 64884

Now multiplying the highest exponent prime factors to calculate the LCM of 64875 and 64884.

LCM(64875,64884) = 3¹ × 5³ × 173¹ × 2² × 5407¹
LCM(64875,64884) = 1403116500