What is the Least Common Multiple of 56173 and 56193?

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 56173 and 56193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56173 and 56193, than apply into the LCM equation.

GCF(56173,56193) = 1
LCM(56173,56193) = ( 56173 × 56193) / 1
LCM(56173,56193) = 3156529389 / 1
LCM(56173,56193) = 3156529389

Least Common Multiple (LCM) of 56173 and 56193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56173 and 56193. First we will calculate the prime factors of 56173 and 56193.

Prime Factorization of 56173

Prime Factorization of 56193

Now multiplying the highest exponent prime factors to calculate the LCM of 56173 and 56193.

LCM(56173,56193) = 13¹ × 29¹ × 149¹ × 3¹ × 18731¹
LCM(56173,56193) = 3156529389