What is the Least Common Multiple of 62676 and 62682?

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 62676 and 62682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62676 and 62682, than apply into the LCM equation.

GCF(62676,62682) = 6
LCM(62676,62682) = ( 62676 × 62682) / 6
LCM(62676,62682) = 3928657032 / 6
LCM(62676,62682) = 654776172

Least Common Multiple (LCM) of 62676 and 62682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62676 and 62682. First we will calculate the prime factors of 62676 and 62682.

Prime Factorization of 62676

Prime Factorization of 62682

Now multiplying the highest exponent prime factors to calculate the LCM of 62676 and 62682.

LCM(62676,62682) = 2² × 3² × 1741¹ × 31¹ × 337¹
LCM(62676,62682) = 654776172