What is the Least Common Multiple of 58680 and 58692?

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 58680 and 58692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58680 and 58692, than apply into the LCM equation.

GCF(58680,58692) = 12
LCM(58680,58692) = ( 58680 × 58692) / 12
LCM(58680,58692) = 3444046560 / 12
LCM(58680,58692) = 287003880

Least Common Multiple (LCM) of 58680 and 58692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58680 and 58692. First we will calculate the prime factors of 58680 and 58692.

Prime Factorization of 58680

Prime Factorization of 58692

Now multiplying the highest exponent prime factors to calculate the LCM of 58680 and 58692.

LCM(58680,58692) = 2³ × 3² × 5¹ × 163¹ × 67¹ × 73¹
LCM(58680,58692) = 287003880