What is the Least Common Multiple of 70908 and 70916?

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 70908 and 70916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70908 and 70916, than apply into the LCM equation.

GCF(70908,70916) = 4
LCM(70908,70916) = ( 70908 × 70916) / 4
LCM(70908,70916) = 5028511728 / 4
LCM(70908,70916) = 1257127932

Least Common Multiple (LCM) of 70908 and 70916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70908 and 70916. First we will calculate the prime factors of 70908 and 70916.

Prime Factorization of 70908

Prime Factorization of 70916

Now multiplying the highest exponent prime factors to calculate the LCM of 70908 and 70916.

LCM(70908,70916) = 2² × 3¹ × 19¹ × 311¹ × 17729¹
LCM(70908,70916) = 1257127932