What is the Least Common Multiple of 22020 and 22028?

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 22028 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 22028, than apply into the LCM equation.

GCF(22020,22028) = 4
LCM(22020,22028) = ( 22020 × 22028) / 4
LCM(22020,22028) = 485056560 / 4
LCM(22020,22028) = 121264140

Least Common Multiple (LCM) of 22020 and 22028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22020 and 22028. First we will calculate the prime factors of 22020 and 22028.

Prime Factorization of 22020

Prime Factorization of 22028

Now multiplying the highest exponent prime factors to calculate the LCM of 22020 and 22028.

LCM(22020,22028) = 2² × 3¹ × 5¹ × 367¹ × 5507¹
LCM(22020,22028) = 121264140