What is the Least Common Multiple of 57802 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 57802 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 57802 and 57810, than apply into the LCM equation.

GCF(57802,57810) = 2
LCM(57802,57810) = ( 57802 × 57810) / 2
LCM(57802,57810) = 3341533620 / 2
LCM(57802,57810) = 1670766810

Least Common Multiple (LCM) of 57802 and 57810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57802 and 57810. First we will calculate the prime factors of 57802 and 57810.

Prime Factorization of 57802

Prime Factorization of 57810

Now multiplying the highest exponent prime factors to calculate the LCM of 57802 and 57810.

LCM(57802,57810) = 2¹ × 28901¹ × 3¹ × 5¹ × 41¹ × 47¹
LCM(57802,57810) = 1670766810