What is the Least Common Multiple of 58596 and 58608?

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 58596 and 58608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58596 and 58608, than apply into the LCM equation.

GCF(58596,58608) = 12
LCM(58596,58608) = ( 58596 × 58608) / 12
LCM(58596,58608) = 3434194368 / 12
LCM(58596,58608) = 286182864

Least Common Multiple (LCM) of 58596 and 58608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58596 and 58608. First we will calculate the prime factors of 58596 and 58608.

Prime Factorization of 58596

Prime Factorization of 58608

Now multiplying the highest exponent prime factors to calculate the LCM of 58596 and 58608.

LCM(58596,58608) = 2⁴ × 3² × 19¹ × 257¹ × 11¹ × 37¹
LCM(58596,58608) = 286182864