What is the Least Common Multiple of 22608 and 22625?

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 22608 and 22625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22608 and 22625, than apply into the LCM equation.

GCF(22608,22625) = 1
LCM(22608,22625) = ( 22608 × 22625) / 1
LCM(22608,22625) = 511506000 / 1
LCM(22608,22625) = 511506000

Least Common Multiple (LCM) of 22608 and 22625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22608 and 22625. First we will calculate the prime factors of 22608 and 22625.

Prime Factorization of 22608

Prime Factorization of 22625

Now multiplying the highest exponent prime factors to calculate the LCM of 22608 and 22625.

LCM(22608,22625) = 2⁴ × 3² × 157¹ × 5³ × 181¹
LCM(22608,22625) = 511506000