What is the Least Common Multiple of 70158 and 70168?

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 70158 and 70168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70158 and 70168, than apply into the LCM equation.

GCF(70158,70168) = 2
LCM(70158,70168) = ( 70158 × 70168) / 2
LCM(70158,70168) = 4922846544 / 2
LCM(70158,70168) = 2461423272

Least Common Multiple (LCM) of 70158 and 70168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70158 and 70168. First we will calculate the prime factors of 70158 and 70168.

Prime Factorization of 70158

Prime Factorization of 70168

Now multiplying the highest exponent prime factors to calculate the LCM of 70158 and 70168.

LCM(70158,70168) = 2³ × 3¹ × 11¹ × 1063¹ × 7² × 179¹
LCM(70158,70168) = 2461423272