What is the Least Common Multiple of 70016 and 70026?

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 70016 and 70026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70016 and 70026, than apply into the LCM equation.

GCF(70016,70026) = 2
LCM(70016,70026) = ( 70016 × 70026) / 2
LCM(70016,70026) = 4902940416 / 2
LCM(70016,70026) = 2451470208

Least Common Multiple (LCM) of 70016 and 70026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70016 and 70026. First we will calculate the prime factors of 70016 and 70026.

Prime Factorization of 70016

Prime Factorization of 70026

Now multiplying the highest exponent prime factors to calculate the LCM of 70016 and 70026.

LCM(70016,70026) = 2⁷ × 547¹ × 3¹ × 11¹ × 1061¹
LCM(70016,70026) = 2451470208