What is the Least Common Multiple of 70152 and 70158?

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 70152 and 70158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70152 and 70158, than apply into the LCM equation.

GCF(70152,70158) = 6
LCM(70152,70158) = ( 70152 × 70158) / 6
LCM(70152,70158) = 4921724016 / 6
LCM(70152,70158) = 820287336

Least Common Multiple (LCM) of 70152 and 70158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70152 and 70158. First we will calculate the prime factors of 70152 and 70158.

Prime Factorization of 70152

Prime Factorization of 70158

Now multiplying the highest exponent prime factors to calculate the LCM of 70152 and 70158.

LCM(70152,70158) = 2³ × 3¹ × 37¹ × 79¹ × 11¹ × 1063¹
LCM(70152,70158) = 820287336