What is the Least Common Multiple of 64575 and 64588?

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 64588 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 64588, than apply into the LCM equation.

GCF(64575,64588) = 1
LCM(64575,64588) = ( 64575 × 64588) / 1
LCM(64575,64588) = 4170770100 / 1
LCM(64575,64588) = 4170770100

Least Common Multiple (LCM) of 64575 and 64588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64575 and 64588. First we will calculate the prime factors of 64575 and 64588.

Prime Factorization of 64575

Prime Factorization of 64588

Now multiplying the highest exponent prime factors to calculate the LCM of 64575 and 64588.

LCM(64575,64588) = 3² × 5² × 7¹ × 41¹ × 2² × 67¹ × 241¹
LCM(64575,64588) = 4170770100