What is the Least Common Multiple of 22004 and 22022?

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 22004 and 22022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22004 and 22022, than apply into the LCM equation.

GCF(22004,22022) = 2
LCM(22004,22022) = ( 22004 × 22022) / 2
LCM(22004,22022) = 484572088 / 2
LCM(22004,22022) = 242286044

Least Common Multiple (LCM) of 22004 and 22022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22004 and 22022. First we will calculate the prime factors of 22004 and 22022.

Prime Factorization of 22004

Prime Factorization of 22022

Now multiplying the highest exponent prime factors to calculate the LCM of 22004 and 22022.

LCM(22004,22022) = 2² × 5501¹ × 7¹ × 11² × 13¹
LCM(22004,22022) = 242286044