What is the Least Common Multiple of 8900 and 8912?

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 8900 and 8912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8900 and 8912, than apply into the LCM equation.

GCF(8900,8912) = 4
LCM(8900,8912) = ( 8900 × 8912) / 4
LCM(8900,8912) = 79316800 / 4
LCM(8900,8912) = 19829200

Least Common Multiple (LCM) of 8900 and 8912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8900 and 8912. First we will calculate the prime factors of 8900 and 8912.

Prime Factorization of 8900

Prime Factorization of 8912

Now multiplying the highest exponent prime factors to calculate the LCM of 8900 and 8912.

LCM(8900,8912) = 2⁴ × 5² × 89¹ × 557¹
LCM(8900,8912) = 19829200