What is the Least Common Multiple of 89876 and 89888?

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 89876 and 89888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89876 and 89888, than apply into the LCM equation.

GCF(89876,89888) = 4
LCM(89876,89888) = ( 89876 × 89888) / 4
LCM(89876,89888) = 8078773888 / 4
LCM(89876,89888) = 2019693472

Least Common Multiple (LCM) of 89876 and 89888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89876 and 89888. First we will calculate the prime factors of 89876 and 89888.

Prime Factorization of 89876

Prime Factorization of 89888

Now multiplying the highest exponent prime factors to calculate the LCM of 89876 and 89888.

LCM(89876,89888) = 2⁵ × 22469¹ × 53²
LCM(89876,89888) = 2019693472