What is the Least Common Multiple of 8925 and 8940?

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 8925 and 8940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8925 and 8940, than apply into the LCM equation.

GCF(8925,8940) = 15
LCM(8925,8940) = ( 8925 × 8940) / 15
LCM(8925,8940) = 79789500 / 15
LCM(8925,8940) = 5319300

Least Common Multiple (LCM) of 8925 and 8940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8925 and 8940. First we will calculate the prime factors of 8925 and 8940.

Prime Factorization of 8925

Prime Factorization of 8940

Now multiplying the highest exponent prime factors to calculate the LCM of 8925 and 8940.

LCM(8925,8940) = 3¹ × 5² × 7¹ × 17¹ × 2² × 149¹
LCM(8925,8940) = 5319300