What is the Least Common Multiple of 6864 and 6879?

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 6864 and 6879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6864 and 6879, than apply into the LCM equation.

GCF(6864,6879) = 3
LCM(6864,6879) = ( 6864 × 6879) / 3
LCM(6864,6879) = 47217456 / 3
LCM(6864,6879) = 15739152

Least Common Multiple (LCM) of 6864 and 6879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6864 and 6879. First we will calculate the prime factors of 6864 and 6879.

Prime Factorization of 6864

Prime Factorization of 6879

Now multiplying the highest exponent prime factors to calculate the LCM of 6864 and 6879.

LCM(6864,6879) = 2⁴ × 3¹ × 11¹ × 13¹ × 2293¹
LCM(6864,6879) = 15739152