What is the Least Common Multiple of 22023 and 22040?

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 22023 and 22040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22023 and 22040, than apply into the LCM equation.

GCF(22023,22040) = 1
LCM(22023,22040) = ( 22023 × 22040) / 1
LCM(22023,22040) = 485386920 / 1
LCM(22023,22040) = 485386920

Least Common Multiple (LCM) of 22023 and 22040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22023 and 22040. First we will calculate the prime factors of 22023 and 22040.

Prime Factorization of 22023

Prime Factorization of 22040

Now multiplying the highest exponent prime factors to calculate the LCM of 22023 and 22040.

LCM(22023,22040) = 3² × 2447¹ × 2³ × 5¹ × 19¹ × 29¹
LCM(22023,22040) = 485386920