What is the Least Common Multiple of 89416 and 89422?

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 89416 and 89422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89416 and 89422, than apply into the LCM equation.

GCF(89416,89422) = 2
LCM(89416,89422) = ( 89416 × 89422) / 2
LCM(89416,89422) = 7995757552 / 2
LCM(89416,89422) = 3997878776

Least Common Multiple (LCM) of 89416 and 89422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89416 and 89422. First we will calculate the prime factors of 89416 and 89422.

Prime Factorization of 89416

Prime Factorization of 89422

Now multiplying the highest exponent prime factors to calculate the LCM of 89416 and 89422.

LCM(89416,89422) = 2³ × 11177¹ × 44711¹
LCM(89416,89422) = 3997878776