What is the Least Common Multiple of 62592 and 62607?

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 62592 and 62607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62592 and 62607, than apply into the LCM equation.

GCF(62592,62607) = 3
LCM(62592,62607) = ( 62592 × 62607) / 3
LCM(62592,62607) = 3918697344 / 3
LCM(62592,62607) = 1306232448

Least Common Multiple (LCM) of 62592 and 62607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62592 and 62607. First we will calculate the prime factors of 62592 and 62607.

Prime Factorization of 62592

Prime Factorization of 62607

Now multiplying the highest exponent prime factors to calculate the LCM of 62592 and 62607.

LCM(62592,62607) = 2⁷ × 3¹ × 163¹ × 41¹ × 509¹
LCM(62592,62607) = 1306232448