What is the Least Common Multiple of 58620 and 58635?

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 58620 and 58635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58620 and 58635, than apply into the LCM equation.

GCF(58620,58635) = 15
LCM(58620,58635) = ( 58620 × 58635) / 15
LCM(58620,58635) = 3437183700 / 15
LCM(58620,58635) = 229145580

Least Common Multiple (LCM) of 58620 and 58635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58620 and 58635. First we will calculate the prime factors of 58620 and 58635.

Prime Factorization of 58620

Prime Factorization of 58635

Now multiplying the highest exponent prime factors to calculate the LCM of 58620 and 58635.

LCM(58620,58635) = 2² × 3² × 5¹ × 977¹ × 1303¹
LCM(58620,58635) = 229145580