What is the Least Common Multiple of 56929 and 56943?

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 56929 and 56943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56929 and 56943, than apply into the LCM equation.

GCF(56929,56943) = 1
LCM(56929,56943) = ( 56929 × 56943) / 1
LCM(56929,56943) = 3241708047 / 1
LCM(56929,56943) = 3241708047

Least Common Multiple (LCM) of 56929 and 56943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56929 and 56943. First we will calculate the prime factors of 56929 and 56943.

Prime Factorization of 56929

Prime Factorization of 56943

Now multiplying the highest exponent prime factors to calculate the LCM of 56929 and 56943.

LCM(56929,56943) = 56929¹ × 3⁴ × 19¹ × 37¹
LCM(56929,56943) = 3241708047