What is the Least Common Multiple of 88856 and 88868?

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 88856 and 88868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88856 and 88868, than apply into the LCM equation.

GCF(88856,88868) = 4
LCM(88856,88868) = ( 88856 × 88868) / 4
LCM(88856,88868) = 7896455008 / 4
LCM(88856,88868) = 1974113752

Least Common Multiple (LCM) of 88856 and 88868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88856 and 88868. First we will calculate the prime factors of 88856 and 88868.

Prime Factorization of 88856

Prime Factorization of 88868

Now multiplying the highest exponent prime factors to calculate the LCM of 88856 and 88868.

LCM(88856,88868) = 2³ × 29¹ × 383¹ × 13¹ × 1709¹
LCM(88856,88868) = 1974113752