What is the Least Common Multiple of 53143 and 53161?

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 53143 and 53161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53143 and 53161, than apply into the LCM equation.

GCF(53143,53161) = 1
LCM(53143,53161) = ( 53143 × 53161) / 1
LCM(53143,53161) = 2825135023 / 1
LCM(53143,53161) = 2825135023

Least Common Multiple (LCM) of 53143 and 53161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53143 and 53161. First we will calculate the prime factors of 53143 and 53161.

Prime Factorization of 53143

Prime Factorization of 53161

Now multiplying the highest exponent prime factors to calculate the LCM of 53143 and 53161.

LCM(53143,53161) = 19¹ × 2797¹ × 53161¹
LCM(53143,53161) = 2825135023