What is the Least Common Multiple of 58656 and 58676?

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 58656 and 58676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58656 and 58676, than apply into the LCM equation.

GCF(58656,58676) = 4
LCM(58656,58676) = ( 58656 × 58676) / 4
LCM(58656,58676) = 3441699456 / 4
LCM(58656,58676) = 860424864

Least Common Multiple (LCM) of 58656 and 58676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58656 and 58676. First we will calculate the prime factors of 58656 and 58676.

Prime Factorization of 58656

Prime Factorization of 58676

Now multiplying the highest exponent prime factors to calculate the LCM of 58656 and 58676.

LCM(58656,58676) = 2⁵ × 3¹ × 13¹ × 47¹ × 14669¹
LCM(58656,58676) = 860424864