What is the Least Common Multiple of 57798 and 57810?

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 57798 and 57810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57798 and 57810, than apply into the LCM equation.

GCF(57798,57810) = 6
LCM(57798,57810) = ( 57798 × 57810) / 6
LCM(57798,57810) = 3341302380 / 6
LCM(57798,57810) = 556883730

Least Common Multiple (LCM) of 57798 and 57810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57798 and 57810. First we will calculate the prime factors of 57798 and 57810.

Prime Factorization of 57798

Prime Factorization of 57810

Now multiplying the highest exponent prime factors to calculate the LCM of 57798 and 57810.

LCM(57798,57810) = 2¹ × 3² × 13² × 19¹ × 5¹ × 41¹ × 47¹
LCM(57798,57810) = 556883730