What is the Least Common Multiple of 83658 and 83675?

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 83658 and 83675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83658 and 83675, than apply into the LCM equation.

GCF(83658,83675) = 1
LCM(83658,83675) = ( 83658 × 83675) / 1
LCM(83658,83675) = 7000083150 / 1
LCM(83658,83675) = 7000083150

Least Common Multiple (LCM) of 83658 and 83675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83658 and 83675. First we will calculate the prime factors of 83658 and 83675.

Prime Factorization of 83658

Prime Factorization of 83675

Now multiplying the highest exponent prime factors to calculate the LCM of 83658 and 83675.

LCM(83658,83675) = 2¹ × 3¹ × 73¹ × 191¹ × 5² × 3347¹
LCM(83658,83675) = 7000083150