What is the Least Common Multiple of 17688 and 17697?

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 17688 and 17697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17688 and 17697, than apply into the LCM equation.

GCF(17688,17697) = 3
LCM(17688,17697) = ( 17688 × 17697) / 3
LCM(17688,17697) = 313024536 / 3
LCM(17688,17697) = 104341512

Least Common Multiple (LCM) of 17688 and 17697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17688 and 17697. First we will calculate the prime factors of 17688 and 17697.

Prime Factorization of 17688

Prime Factorization of 17697

Now multiplying the highest exponent prime factors to calculate the LCM of 17688 and 17697.

LCM(17688,17697) = 2³ × 3¹ × 11¹ × 67¹ × 17¹ × 347¹
LCM(17688,17697) = 104341512