What is the Least Common Multiple of 20846 and 20858?

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 20846 and 20858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20846 and 20858, than apply into the LCM equation.

GCF(20846,20858) = 2
LCM(20846,20858) = ( 20846 × 20858) / 2
LCM(20846,20858) = 434805868 / 2
LCM(20846,20858) = 217402934

Least Common Multiple (LCM) of 20846 and 20858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20846 and 20858. First we will calculate the prime factors of 20846 and 20858.

Prime Factorization of 20846

Prime Factorization of 20858

Now multiplying the highest exponent prime factors to calculate the LCM of 20846 and 20858.

LCM(20846,20858) = 2¹ × 7¹ × 1489¹ × 10429¹
LCM(20846,20858) = 217402934