What is the Least Common Multiple of 17352 and 17366?

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 17352 and 17366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17352 and 17366, than apply into the LCM equation.

GCF(17352,17366) = 2
LCM(17352,17366) = ( 17352 × 17366) / 2
LCM(17352,17366) = 301334832 / 2
LCM(17352,17366) = 150667416

Least Common Multiple (LCM) of 17352 and 17366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17352 and 17366. First we will calculate the prime factors of 17352 and 17366.

Prime Factorization of 17352

Prime Factorization of 17366

Now multiplying the highest exponent prime factors to calculate the LCM of 17352 and 17366.

LCM(17352,17366) = 2³ × 3² × 241¹ × 19¹ × 457¹
LCM(17352,17366) = 150667416