What is the Least Common Multiple of 30020 and 30036?

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 30020 and 30036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30020 and 30036, than apply into the LCM equation.

GCF(30020,30036) = 4
LCM(30020,30036) = ( 30020 × 30036) / 4
LCM(30020,30036) = 901680720 / 4
LCM(30020,30036) = 225420180

Least Common Multiple (LCM) of 30020 and 30036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30020 and 30036. First we will calculate the prime factors of 30020 and 30036.

Prime Factorization of 30020

Prime Factorization of 30036

Now multiplying the highest exponent prime factors to calculate the LCM of 30020 and 30036.

LCM(30020,30036) = 2² × 5¹ × 19¹ × 79¹ × 3¹ × 2503¹
LCM(30020,30036) = 225420180