What is the Least Common Multiple of 22020 and 22039?

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 22020 and 22039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22020 and 22039, than apply into the LCM equation.

GCF(22020,22039) = 1
LCM(22020,22039) = ( 22020 × 22039) / 1
LCM(22020,22039) = 485298780 / 1
LCM(22020,22039) = 485298780

Least Common Multiple (LCM) of 22020 and 22039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22020 and 22039. First we will calculate the prime factors of 22020 and 22039.

Prime Factorization of 22020

Prime Factorization of 22039

Now multiplying the highest exponent prime factors to calculate the LCM of 22020 and 22039.

LCM(22020,22039) = 2² × 3¹ × 5¹ × 367¹ × 22039¹
LCM(22020,22039) = 485298780