What is the Least Common Multiple of 22449 and 22456?

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 22449 and 22456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22449 and 22456, than apply into the LCM equation.

GCF(22449,22456) = 7
LCM(22449,22456) = ( 22449 × 22456) / 7
LCM(22449,22456) = 504114744 / 7
LCM(22449,22456) = 72016392

Least Common Multiple (LCM) of 22449 and 22456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22449 and 22456. First we will calculate the prime factors of 22449 and 22456.

Prime Factorization of 22449

Prime Factorization of 22456

Now multiplying the highest exponent prime factors to calculate the LCM of 22449 and 22456.

LCM(22449,22456) = 3¹ × 7¹ × 1069¹ × 2³ × 401¹
LCM(22449,22456) = 72016392