What is the Least Common Multiple of 20131 and 20151?

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 20131 and 20151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20131 and 20151, than apply into the LCM equation.

GCF(20131,20151) = 1
LCM(20131,20151) = ( 20131 × 20151) / 1
LCM(20131,20151) = 405659781 / 1
LCM(20131,20151) = 405659781

Least Common Multiple (LCM) of 20131 and 20151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20131 and 20151. First we will calculate the prime factors of 20131 and 20151.

Prime Factorization of 20131

Prime Factorization of 20151

Now multiplying the highest exponent prime factors to calculate the LCM of 20131 and 20151.

LCM(20131,20151) = 41¹ × 491¹ × 3² × 2239¹
LCM(20131,20151) = 405659781