What is the Least Common Multiple of 40864 and 40877?

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 40864 and 40877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40864 and 40877, than apply into the LCM equation.

GCF(40864,40877) = 1
LCM(40864,40877) = ( 40864 × 40877) / 1
LCM(40864,40877) = 1670397728 / 1
LCM(40864,40877) = 1670397728

Least Common Multiple (LCM) of 40864 and 40877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40864 and 40877. First we will calculate the prime factors of 40864 and 40877.

Prime Factorization of 40864

Prime Factorization of 40877

Now multiplying the highest exponent prime factors to calculate the LCM of 40864 and 40877.

LCM(40864,40877) = 2⁵ × 1277¹ × 41¹ × 997¹
LCM(40864,40877) = 1670397728