What is the Least Common Multiple of 20112 and 20131?

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 20112 and 20131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20112 and 20131, than apply into the LCM equation.

GCF(20112,20131) = 1
LCM(20112,20131) = ( 20112 × 20131) / 1
LCM(20112,20131) = 404874672 / 1
LCM(20112,20131) = 404874672

Least Common Multiple (LCM) of 20112 and 20131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20112 and 20131. First we will calculate the prime factors of 20112 and 20131.

Prime Factorization of 20112

Prime Factorization of 20131

Now multiplying the highest exponent prime factors to calculate the LCM of 20112 and 20131.

LCM(20112,20131) = 2⁴ × 3¹ × 419¹ × 41¹ × 491¹
LCM(20112,20131) = 404874672