What is the Least Common Multiple of 17809 and 17816?

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 17809 and 17816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17809 and 17816, than apply into the LCM equation.

GCF(17809,17816) = 1
LCM(17809,17816) = ( 17809 × 17816) / 1
LCM(17809,17816) = 317285144 / 1
LCM(17809,17816) = 317285144

Least Common Multiple (LCM) of 17809 and 17816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17809 and 17816. First we will calculate the prime factors of 17809 and 17816.

Prime Factorization of 17809

Prime Factorization of 17816

Now multiplying the highest exponent prime factors to calculate the LCM of 17809 and 17816.

LCM(17809,17816) = 11¹ × 1619¹ × 2³ × 17¹ × 131¹
LCM(17809,17816) = 317285144