What is the Least Common Multiple of 22590 and 22600?

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 22590 and 22600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22590 and 22600, than apply into the LCM equation.

GCF(22590,22600) = 10
LCM(22590,22600) = ( 22590 × 22600) / 10
LCM(22590,22600) = 510534000 / 10
LCM(22590,22600) = 51053400

Least Common Multiple (LCM) of 22590 and 22600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22590 and 22600. First we will calculate the prime factors of 22590 and 22600.

Prime Factorization of 22590

Prime Factorization of 22600

Now multiplying the highest exponent prime factors to calculate the LCM of 22590 and 22600.

LCM(22590,22600) = 2³ × 3² × 5² × 251¹ × 113¹
LCM(22590,22600) = 51053400