What is the Least Common Multiple of 57891 and 57910?

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 57891 and 57910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57891 and 57910, than apply into the LCM equation.

GCF(57891,57910) = 1
LCM(57891,57910) = ( 57891 × 57910) / 1
LCM(57891,57910) = 3352467810 / 1
LCM(57891,57910) = 3352467810

Least Common Multiple (LCM) of 57891 and 57910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57891 and 57910. First we will calculate the prime factors of 57891 and 57910.

Prime Factorization of 57891

Prime Factorization of 57910

Now multiplying the highest exponent prime factors to calculate the LCM of 57891 and 57910.

LCM(57891,57910) = 3¹ × 23¹ × 839¹ × 2¹ × 5¹ × 5791¹
LCM(57891,57910) = 3352467810