What is the Least Common Multiple of 62664 and 62677?

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 62664 and 62677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62664 and 62677, than apply into the LCM equation.

GCF(62664,62677) = 1
LCM(62664,62677) = ( 62664 × 62677) / 1
LCM(62664,62677) = 3927591528 / 1
LCM(62664,62677) = 3927591528

Least Common Multiple (LCM) of 62664 and 62677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62664 and 62677. First we will calculate the prime factors of 62664 and 62677.

Prime Factorization of 62664

Prime Factorization of 62677

Now multiplying the highest exponent prime factors to calculate the LCM of 62664 and 62677.

LCM(62664,62677) = 2³ × 3¹ × 7¹ × 373¹ × 233¹ × 269¹
LCM(62664,62677) = 3927591528