What is the Least Common Multiple of 70916 and 70931?

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 70916 and 70931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70916 and 70931, than apply into the LCM equation.

GCF(70916,70931) = 1
LCM(70916,70931) = ( 70916 × 70931) / 1
LCM(70916,70931) = 5030142796 / 1
LCM(70916,70931) = 5030142796

Least Common Multiple (LCM) of 70916 and 70931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70916 and 70931. First we will calculate the prime factors of 70916 and 70931.

Prime Factorization of 70916

Prime Factorization of 70931

Now multiplying the highest exponent prime factors to calculate the LCM of 70916 and 70931.

LCM(70916,70931) = 2² × 17729¹ × 7¹ × 10133¹
LCM(70916,70931) = 5030142796