What is the Least Common Multiple of 20121 and 20138?

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 20121 and 20138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20121 and 20138, than apply into the LCM equation.

GCF(20121,20138) = 1
LCM(20121,20138) = ( 20121 × 20138) / 1
LCM(20121,20138) = 405196698 / 1
LCM(20121,20138) = 405196698

Least Common Multiple (LCM) of 20121 and 20138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20121 and 20138. First we will calculate the prime factors of 20121 and 20138.

Prime Factorization of 20121

Prime Factorization of 20138

Now multiplying the highest exponent prime factors to calculate the LCM of 20121 and 20138.

LCM(20121,20138) = 3¹ × 19¹ × 353¹ × 2¹ × 10069¹
LCM(20121,20138) = 405196698