What is the Least Common Multiple of 58488 and 58494?

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 58488 and 58494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58488 and 58494, than apply into the LCM equation.

GCF(58488,58494) = 6
LCM(58488,58494) = ( 58488 × 58494) / 6
LCM(58488,58494) = 3421197072 / 6
LCM(58488,58494) = 570199512

Least Common Multiple (LCM) of 58488 and 58494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58488 and 58494. First we will calculate the prime factors of 58488 and 58494.

Prime Factorization of 58488

Prime Factorization of 58494

Now multiplying the highest exponent prime factors to calculate the LCM of 58488 and 58494.

LCM(58488,58494) = 2³ × 3¹ × 2437¹ × 9749¹
LCM(58488,58494) = 570199512