What is the Least Common Multiple of 22468 and 22488?

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 22468 and 22488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22468 and 22488, than apply into the LCM equation.

GCF(22468,22488) = 4
LCM(22468,22488) = ( 22468 × 22488) / 4
LCM(22468,22488) = 505260384 / 4
LCM(22468,22488) = 126315096

Least Common Multiple (LCM) of 22468 and 22488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22468 and 22488. First we will calculate the prime factors of 22468 and 22488.

Prime Factorization of 22468

Prime Factorization of 22488

Now multiplying the highest exponent prime factors to calculate the LCM of 22468 and 22488.

LCM(22468,22488) = 2³ × 41¹ × 137¹ × 3¹ × 937¹
LCM(22468,22488) = 126315096