What is the Least Common Multiple of 58947 and 58956?

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 58947 and 58956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58947 and 58956, than apply into the LCM equation.

GCF(58947,58956) = 3
LCM(58947,58956) = ( 58947 × 58956) / 3
LCM(58947,58956) = 3475279332 / 3
LCM(58947,58956) = 1158426444

Least Common Multiple (LCM) of 58947 and 58956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58947 and 58956. First we will calculate the prime factors of 58947 and 58956.

Prime Factorization of 58947

Prime Factorization of 58956

Now multiplying the highest exponent prime factors to calculate the LCM of 58947 and 58956.

LCM(58947,58956) = 3¹ × 7² × 401¹ × 2² × 17³
LCM(58947,58956) = 1158426444