What is the Least Common Multiple of 66891 and 66909?

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 66891 and 66909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66891 and 66909, than apply into the LCM equation.

GCF(66891,66909) = 3
LCM(66891,66909) = ( 66891 × 66909) / 3
LCM(66891,66909) = 4475609919 / 3
LCM(66891,66909) = 1491869973

Least Common Multiple (LCM) of 66891 and 66909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66891 and 66909. First we will calculate the prime factors of 66891 and 66909.

Prime Factorization of 66891

Prime Factorization of 66909

Now multiplying the highest exponent prime factors to calculate the LCM of 66891 and 66909.

LCM(66891,66909) = 3¹ × 11¹ × 2027¹ × 22303¹
LCM(66891,66909) = 1491869973