What is the Least Common Multiple of 22005 and 22024?

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 22005 and 22024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22005 and 22024, than apply into the LCM equation.

GCF(22005,22024) = 1
LCM(22005,22024) = ( 22005 × 22024) / 1
LCM(22005,22024) = 484638120 / 1
LCM(22005,22024) = 484638120

Least Common Multiple (LCM) of 22005 and 22024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22005 and 22024. First we will calculate the prime factors of 22005 and 22024.

Prime Factorization of 22005

Prime Factorization of 22024

Now multiplying the highest exponent prime factors to calculate the LCM of 22005 and 22024.

LCM(22005,22024) = 3³ × 5¹ × 163¹ × 2³ × 2753¹
LCM(22005,22024) = 484638120