What is the Least Common Multiple of 22456 and 22461?

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 22456 and 22461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22456 and 22461, than apply into the LCM equation.

GCF(22456,22461) = 1
LCM(22456,22461) = ( 22456 × 22461) / 1
LCM(22456,22461) = 504384216 / 1
LCM(22456,22461) = 504384216

Least Common Multiple (LCM) of 22456 and 22461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22456 and 22461. First we will calculate the prime factors of 22456 and 22461.

Prime Factorization of 22456

Prime Factorization of 22461

Now multiplying the highest exponent prime factors to calculate the LCM of 22456 and 22461.

LCM(22456,22461) = 2³ × 7¹ × 401¹ × 3¹ × 7487¹
LCM(22456,22461) = 504384216