What is the Least Common Multiple of 56844 and 56857?

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 56844 and 56857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56844 and 56857, than apply into the LCM equation.

GCF(56844,56857) = 1
LCM(56844,56857) = ( 56844 × 56857) / 1
LCM(56844,56857) = 3231979308 / 1
LCM(56844,56857) = 3231979308

Least Common Multiple (LCM) of 56844 and 56857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56844 and 56857. First we will calculate the prime factors of 56844 and 56857.

Prime Factorization of 56844

Prime Factorization of 56857

Now multiplying the highest exponent prime factors to calculate the LCM of 56844 and 56857.

LCM(56844,56857) = 2² × 3² × 1579¹ × 56857¹
LCM(56844,56857) = 3231979308