What is the Least Common Multiple of 62659 and 62676?

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 62659 and 62676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62659 and 62676, than apply into the LCM equation.

GCF(62659,62676) = 1
LCM(62659,62676) = ( 62659 × 62676) / 1
LCM(62659,62676) = 3927215484 / 1
LCM(62659,62676) = 3927215484

Least Common Multiple (LCM) of 62659 and 62676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62659 and 62676. First we will calculate the prime factors of 62659 and 62676.

Prime Factorization of 62659

Prime Factorization of 62676

Now multiplying the highest exponent prime factors to calculate the LCM of 62659 and 62676.

LCM(62659,62676) = 62659¹ × 2² × 3² × 1741¹
LCM(62659,62676) = 3927215484