What is the Least Common Multiple of 69864 and 69879?

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 69864 and 69879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69864 and 69879, than apply into the LCM equation.

GCF(69864,69879) = 3
LCM(69864,69879) = ( 69864 × 69879) / 3
LCM(69864,69879) = 4882026456 / 3
LCM(69864,69879) = 1627342152

Least Common Multiple (LCM) of 69864 and 69879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69864 and 69879. First we will calculate the prime factors of 69864 and 69879.

Prime Factorization of 69864

Prime Factorization of 69879

Now multiplying the highest exponent prime factors to calculate the LCM of 69864 and 69879.

LCM(69864,69879) = 2³ × 3¹ × 41¹ × 71¹ × 23293¹
LCM(69864,69879) = 1627342152