What is the Least Common Multiple of 57854 and 57868?

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 57854 and 57868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57854 and 57868, than apply into the LCM equation.

GCF(57854,57868) = 2
LCM(57854,57868) = ( 57854 × 57868) / 2
LCM(57854,57868) = 3347895272 / 2
LCM(57854,57868) = 1673947636

Least Common Multiple (LCM) of 57854 and 57868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57854 and 57868. First we will calculate the prime factors of 57854 and 57868.

Prime Factorization of 57854

Prime Factorization of 57868

Now multiplying the highest exponent prime factors to calculate the LCM of 57854 and 57868.

LCM(57854,57868) = 2² × 28927¹ × 17¹ × 23¹ × 37¹
LCM(57854,57868) = 1673947636