What is the Least Common Multiple of 89888 and 89900?

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 89888 and 89900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89888 and 89900, than apply into the LCM equation.

GCF(89888,89900) = 4
LCM(89888,89900) = ( 89888 × 89900) / 4
LCM(89888,89900) = 8080931200 / 4
LCM(89888,89900) = 2020232800

Least Common Multiple (LCM) of 89888 and 89900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89888 and 89900. First we will calculate the prime factors of 89888 and 89900.

Prime Factorization of 89888

Prime Factorization of 89900

Now multiplying the highest exponent prime factors to calculate the LCM of 89888 and 89900.

LCM(89888,89900) = 2⁵ × 53² × 5² × 29¹ × 31¹
LCM(89888,89900) = 2020232800