What is the Least Common Multiple of 58926 and 58942?

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 58926 and 58942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58926 and 58942, than apply into the LCM equation.

GCF(58926,58942) = 2
LCM(58926,58942) = ( 58926 × 58942) / 2
LCM(58926,58942) = 3473216292 / 2
LCM(58926,58942) = 1736608146

Least Common Multiple (LCM) of 58926 and 58942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58926 and 58942. First we will calculate the prime factors of 58926 and 58942.

Prime Factorization of 58926

Prime Factorization of 58942

Now multiplying the highest exponent prime factors to calculate the LCM of 58926 and 58942.

LCM(58926,58942) = 2¹ × 3¹ × 7¹ × 23¹ × 61¹ × 13¹ × 2267¹
LCM(58926,58942) = 1736608146