What is the Least Common Multiple of 89856 and 89862?

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 89856 and 89862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89856 and 89862, than apply into the LCM equation.

GCF(89856,89862) = 6
LCM(89856,89862) = ( 89856 × 89862) / 6
LCM(89856,89862) = 8074639872 / 6
LCM(89856,89862) = 1345773312

Least Common Multiple (LCM) of 89856 and 89862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89856 and 89862. First we will calculate the prime factors of 89856 and 89862.

Prime Factorization of 89856

Prime Factorization of 89862

Now multiplying the highest exponent prime factors to calculate the LCM of 89856 and 89862.

LCM(89856,89862) = 2⁸ × 3³ × 13¹ × 17¹ × 881¹
LCM(89856,89862) = 1345773312