What is the Least Common Multiple of 70872 and 70888?

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 70872 and 70888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70872 and 70888, than apply into the LCM equation.

GCF(70872,70888) = 8
LCM(70872,70888) = ( 70872 × 70888) / 8
LCM(70872,70888) = 5023974336 / 8
LCM(70872,70888) = 627996792

Least Common Multiple (LCM) of 70872 and 70888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70872 and 70888. First we will calculate the prime factors of 70872 and 70888.

Prime Factorization of 70872

Prime Factorization of 70888

Now multiplying the highest exponent prime factors to calculate the LCM of 70872 and 70888.

LCM(70872,70888) = 2³ × 3¹ × 2953¹ × 8861¹
LCM(70872,70888) = 627996792