What is the Least Common Multiple of 24806 and 24810?

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 24806 and 24810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24806 and 24810, than apply into the LCM equation.

GCF(24806,24810) = 2
LCM(24806,24810) = ( 24806 × 24810) / 2
LCM(24806,24810) = 615436860 / 2
LCM(24806,24810) = 307718430

Least Common Multiple (LCM) of 24806 and 24810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24806 and 24810. First we will calculate the prime factors of 24806 and 24810.

Prime Factorization of 24806

Prime Factorization of 24810

Now multiplying the highest exponent prime factors to calculate the LCM of 24806 and 24810.

LCM(24806,24810) = 2¹ × 79¹ × 157¹ × 3¹ × 5¹ × 827¹
LCM(24806,24810) = 307718430