What is the Least Common Multiple of 20130 and 20142?

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 20130 and 20142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20130 and 20142, than apply into the LCM equation.

GCF(20130,20142) = 6
LCM(20130,20142) = ( 20130 × 20142) / 6
LCM(20130,20142) = 405458460 / 6
LCM(20130,20142) = 67576410

Least Common Multiple (LCM) of 20130 and 20142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20130 and 20142. First we will calculate the prime factors of 20130 and 20142.

Prime Factorization of 20130

Prime Factorization of 20142

Now multiplying the highest exponent prime factors to calculate the LCM of 20130 and 20142.

LCM(20130,20142) = 2¹ × 3³ × 5¹ × 11¹ × 61¹ × 373¹
LCM(20130,20142) = 67576410