What is the Least Common Multiple of 20142 and 20150?

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 20142 and 20150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20142 and 20150, than apply into the LCM equation.

GCF(20142,20150) = 2
LCM(20142,20150) = ( 20142 × 20150) / 2
LCM(20142,20150) = 405861300 / 2
LCM(20142,20150) = 202930650

Least Common Multiple (LCM) of 20142 and 20150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20142 and 20150. First we will calculate the prime factors of 20142 and 20150.

Prime Factorization of 20142

Prime Factorization of 20150

Now multiplying the highest exponent prime factors to calculate the LCM of 20142 and 20150.

LCM(20142,20150) = 2¹ × 3³ × 373¹ × 5² × 13¹ × 31¹
LCM(20142,20150) = 202930650