What is the Least Common Multiple of 70632 and 70646?

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 70632 and 70646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70632 and 70646, than apply into the LCM equation.

GCF(70632,70646) = 2
LCM(70632,70646) = ( 70632 × 70646) / 2
LCM(70632,70646) = 4989868272 / 2
LCM(70632,70646) = 2494934136

Least Common Multiple (LCM) of 70632 and 70646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70632 and 70646. First we will calculate the prime factors of 70632 and 70646.

Prime Factorization of 70632

Prime Factorization of 70646

Now multiplying the highest exponent prime factors to calculate the LCM of 70632 and 70646.

LCM(70632,70646) = 2³ × 3⁴ × 109¹ × 35323¹
LCM(70632,70646) = 2494934136