What is the Least Common Multiple of 70026 and 70032?

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 70026 and 70032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70026 and 70032, than apply into the LCM equation.

GCF(70026,70032) = 6
LCM(70026,70032) = ( 70026 × 70032) / 6
LCM(70026,70032) = 4904060832 / 6
LCM(70026,70032) = 817343472

Least Common Multiple (LCM) of 70026 and 70032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70026 and 70032. First we will calculate the prime factors of 70026 and 70032.

Prime Factorization of 70026

Prime Factorization of 70032

Now multiplying the highest exponent prime factors to calculate the LCM of 70026 and 70032.

LCM(70026,70032) = 2⁴ × 3¹ × 11¹ × 1061¹ × 1459¹
LCM(70026,70032) = 817343472