What is the Least Common Multiple of 22904 and 22908?

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 22904 and 22908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22904 and 22908, than apply into the LCM equation.

GCF(22904,22908) = 4
LCM(22904,22908) = ( 22904 × 22908) / 4
LCM(22904,22908) = 524684832 / 4
LCM(22904,22908) = 131171208

Least Common Multiple (LCM) of 22904 and 22908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22904 and 22908. First we will calculate the prime factors of 22904 and 22908.

Prime Factorization of 22904

Prime Factorization of 22908

Now multiplying the highest exponent prime factors to calculate the LCM of 22904 and 22908.

LCM(22904,22908) = 2³ × 7¹ × 409¹ × 3¹ × 23¹ × 83¹
LCM(22904,22908) = 131171208