What is the Least Common Multiple of 17769 and 17781?

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 17769 and 17781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17769 and 17781, than apply into the LCM equation.

GCF(17769,17781) = 3
LCM(17769,17781) = ( 17769 × 17781) / 3
LCM(17769,17781) = 315950589 / 3
LCM(17769,17781) = 105316863

Least Common Multiple (LCM) of 17769 and 17781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17769 and 17781. First we will calculate the prime factors of 17769 and 17781.

Prime Factorization of 17769

Prime Factorization of 17781

Now multiplying the highest exponent prime factors to calculate the LCM of 17769 and 17781.

LCM(17769,17781) = 3¹ × 5923¹ × 5927¹
LCM(17769,17781) = 105316863