What is the Least Common Multiple of 6872 and 6877?

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 6872 and 6877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6872 and 6877, than apply into the LCM equation.

GCF(6872,6877) = 1
LCM(6872,6877) = ( 6872 × 6877) / 1
LCM(6872,6877) = 47258744 / 1
LCM(6872,6877) = 47258744

Least Common Multiple (LCM) of 6872 and 6877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6872 and 6877. First we will calculate the prime factors of 6872 and 6877.

Prime Factorization of 6872

Prime Factorization of 6877

Now multiplying the highest exponent prime factors to calculate the LCM of 6872 and 6877.

LCM(6872,6877) = 2³ × 859¹ × 13¹ × 23²
LCM(6872,6877) = 47258744