What is the Least Common Multiple of 20413 and 20431?

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 20413 and 20431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20413 and 20431, than apply into the LCM equation.

GCF(20413,20431) = 1
LCM(20413,20431) = ( 20413 × 20431) / 1
LCM(20413,20431) = 417058003 / 1
LCM(20413,20431) = 417058003

Least Common Multiple (LCM) of 20413 and 20431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20413 and 20431. First we will calculate the prime factors of 20413 and 20431.

Prime Factorization of 20413

Prime Factorization of 20431

Now multiplying the highest exponent prime factors to calculate the LCM of 20413 and 20431.

LCM(20413,20431) = 137¹ × 149¹ × 20431¹
LCM(20413,20431) = 417058003