What is the Least Common Multiple of 58657 and 58674?

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 58657 and 58674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58657 and 58674, than apply into the LCM equation.

GCF(58657,58674) = 1
LCM(58657,58674) = ( 58657 × 58674) / 1
LCM(58657,58674) = 3441640818 / 1
LCM(58657,58674) = 3441640818

Least Common Multiple (LCM) of 58657 and 58674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58657 and 58674. First we will calculate the prime factors of 58657 and 58674.

Prime Factorization of 58657

Prime Factorization of 58674

Now multiplying the highest exponent prime factors to calculate the LCM of 58657 and 58674.

LCM(58657,58674) = 58657¹ × 2¹ × 3¹ × 7¹ × 11¹ × 127¹
LCM(58657,58674) = 3441640818