What is the Least Common Multiple of 64584 and 64592?

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 64584 and 64592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64584 and 64592, than apply into the LCM equation.

GCF(64584,64592) = 8
LCM(64584,64592) = ( 64584 × 64592) / 8
LCM(64584,64592) = 4171609728 / 8
LCM(64584,64592) = 521451216

Least Common Multiple (LCM) of 64584 and 64592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64584 and 64592. First we will calculate the prime factors of 64584 and 64592.

Prime Factorization of 64584

Prime Factorization of 64592

Now multiplying the highest exponent prime factors to calculate the LCM of 64584 and 64592.

LCM(64584,64592) = 2⁴ × 3³ × 13¹ × 23¹ × 11¹ × 367¹
LCM(64584,64592) = 521451216