What is the Least Common Multiple of 8894 and 8900?

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 8894 and 8900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8894 and 8900, than apply into the LCM equation.

GCF(8894,8900) = 2
LCM(8894,8900) = ( 8894 × 8900) / 2
LCM(8894,8900) = 79156600 / 2
LCM(8894,8900) = 39578300

Least Common Multiple (LCM) of 8894 and 8900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8894 and 8900. First we will calculate the prime factors of 8894 and 8900.

Prime Factorization of 8894

Prime Factorization of 8900

Now multiplying the highest exponent prime factors to calculate the LCM of 8894 and 8900.

LCM(8894,8900) = 2² × 4447¹ × 5² × 89¹
LCM(8894,8900) = 39578300