What is the Least Common Multiple of 58980 and 58992?

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 58980 and 58992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58980 and 58992, than apply into the LCM equation.

GCF(58980,58992) = 12
LCM(58980,58992) = ( 58980 × 58992) / 12
LCM(58980,58992) = 3479348160 / 12
LCM(58980,58992) = 289945680

Least Common Multiple (LCM) of 58980 and 58992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58980 and 58992. First we will calculate the prime factors of 58980 and 58992.

Prime Factorization of 58980

Prime Factorization of 58992

Now multiplying the highest exponent prime factors to calculate the LCM of 58980 and 58992.

LCM(58980,58992) = 2⁴ × 3¹ × 5¹ × 983¹ × 1229¹
LCM(58980,58992) = 289945680