What is the Least Common Multiple of 42891 and 42909?

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 42891 and 42909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42891 and 42909, than apply into the LCM equation.

GCF(42891,42909) = 3
LCM(42891,42909) = ( 42891 × 42909) / 3
LCM(42891,42909) = 1840409919 / 3
LCM(42891,42909) = 613469973

Least Common Multiple (LCM) of 42891 and 42909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42891 and 42909. First we will calculate the prime factors of 42891 and 42909.

Prime Factorization of 42891

Prime Factorization of 42909

Now multiplying the highest exponent prime factors to calculate the LCM of 42891 and 42909.

LCM(42891,42909) = 3¹ × 17¹ × 29² × 14303¹
LCM(42891,42909) = 613469973