What is the Least Common Multiple of 62660 and 62675?

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 62660 and 62675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62660 and 62675, than apply into the LCM equation.

GCF(62660,62675) = 5
LCM(62660,62675) = ( 62660 × 62675) / 5
LCM(62660,62675) = 3927215500 / 5
LCM(62660,62675) = 785443100

Least Common Multiple (LCM) of 62660 and 62675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62660 and 62675. First we will calculate the prime factors of 62660 and 62675.

Prime Factorization of 62660

Prime Factorization of 62675

Now multiplying the highest exponent prime factors to calculate the LCM of 62660 and 62675.

LCM(62660,62675) = 2² × 5² × 13¹ × 241¹ × 23¹ × 109¹
LCM(62660,62675) = 785443100