What is the Least Common Multiple of 17719 and 17736?

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 17719 and 17736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17719 and 17736, than apply into the LCM equation.

GCF(17719,17736) = 1
LCM(17719,17736) = ( 17719 × 17736) / 1
LCM(17719,17736) = 314264184 / 1
LCM(17719,17736) = 314264184

Least Common Multiple (LCM) of 17719 and 17736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17719 and 17736. First we will calculate the prime factors of 17719 and 17736.

Prime Factorization of 17719

Prime Factorization of 17736

Now multiplying the highest exponent prime factors to calculate the LCM of 17719 and 17736.

LCM(17719,17736) = 13¹ × 29¹ × 47¹ × 2³ × 3¹ × 739¹
LCM(17719,17736) = 314264184