What is the Least Common Multiple of 64575 and 64584?

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 64575 and 64584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64575 and 64584, than apply into the LCM equation.

GCF(64575,64584) = 9
LCM(64575,64584) = ( 64575 × 64584) / 9
LCM(64575,64584) = 4170511800 / 9
LCM(64575,64584) = 463390200

Least Common Multiple (LCM) of 64575 and 64584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64575 and 64584. First we will calculate the prime factors of 64575 and 64584.

Prime Factorization of 64575

Prime Factorization of 64584

Now multiplying the highest exponent prime factors to calculate the LCM of 64575 and 64584.

LCM(64575,64584) = 3³ × 5² × 7¹ × 41¹ × 2³ × 13¹ × 23¹
LCM(64575,64584) = 463390200