What is the Least Common Multiple of 20016 and 20030?

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 20016 and 20030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20016 and 20030, than apply into the LCM equation.

GCF(20016,20030) = 2
LCM(20016,20030) = ( 20016 × 20030) / 2
LCM(20016,20030) = 400920480 / 2
LCM(20016,20030) = 200460240

Least Common Multiple (LCM) of 20016 and 20030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20016 and 20030. First we will calculate the prime factors of 20016 and 20030.

Prime Factorization of 20016

Prime Factorization of 20030

Now multiplying the highest exponent prime factors to calculate the LCM of 20016 and 20030.

LCM(20016,20030) = 2⁴ × 3² × 139¹ × 5¹ × 2003¹
LCM(20016,20030) = 200460240