What is the Least Common Multiple of 56864 and 56877?

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 56864 and 56877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56864 and 56877, than apply into the LCM equation.

GCF(56864,56877) = 1
LCM(56864,56877) = ( 56864 × 56877) / 1
LCM(56864,56877) = 3234253728 / 1
LCM(56864,56877) = 3234253728

Least Common Multiple (LCM) of 56864 and 56877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56864 and 56877. First we will calculate the prime factors of 56864 and 56877.

Prime Factorization of 56864

Prime Factorization of 56877

Now multiplying the highest exponent prime factors to calculate the LCM of 56864 and 56877.

LCM(56864,56877) = 2⁵ × 1777¹ × 3¹ × 18959¹
LCM(56864,56877) = 3234253728