What is the Least Common Multiple of 8920 and 8925?

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 8920 and 8925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8920 and 8925, than apply into the LCM equation.

GCF(8920,8925) = 5
LCM(8920,8925) = ( 8920 × 8925) / 5
LCM(8920,8925) = 79611000 / 5
LCM(8920,8925) = 15922200

Least Common Multiple (LCM) of 8920 and 8925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8920 and 8925. First we will calculate the prime factors of 8920 and 8925.

Prime Factorization of 8920

Prime Factorization of 8925

Now multiplying the highest exponent prime factors to calculate the LCM of 8920 and 8925.

LCM(8920,8925) = 2³ × 5² × 223¹ × 3¹ × 7¹ × 17¹
LCM(8920,8925) = 15922200