What is the Least Common Multiple of 17361 and 17370?

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 17361 and 17370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17361 and 17370, than apply into the LCM equation.

GCF(17361,17370) = 9
LCM(17361,17370) = ( 17361 × 17370) / 9
LCM(17361,17370) = 301560570 / 9
LCM(17361,17370) = 33506730

Least Common Multiple (LCM) of 17361 and 17370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17361 and 17370. First we will calculate the prime factors of 17361 and 17370.

Prime Factorization of 17361

Prime Factorization of 17370

Now multiplying the highest exponent prime factors to calculate the LCM of 17361 and 17370.

LCM(17361,17370) = 3³ × 643¹ × 2¹ × 5¹ × 193¹
LCM(17361,17370) = 33506730