What is the Least Common Multiple of 88836 and 88856?

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 88836 and 88856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88836 and 88856, than apply into the LCM equation.

GCF(88836,88856) = 4
LCM(88836,88856) = ( 88836 × 88856) / 4
LCM(88836,88856) = 7893611616 / 4
LCM(88836,88856) = 1973402904

Least Common Multiple (LCM) of 88836 and 88856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88836 and 88856. First we will calculate the prime factors of 88836 and 88856.

Prime Factorization of 88836

Prime Factorization of 88856

Now multiplying the highest exponent prime factors to calculate the LCM of 88836 and 88856.

LCM(88836,88856) = 2³ × 3¹ × 11¹ × 673¹ × 29¹ × 383¹
LCM(88836,88856) = 1973402904