What is the Least Common Multiple of 17340 and 17349?

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 17340 and 17349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17340 and 17349, than apply into the LCM equation.

GCF(17340,17349) = 3
LCM(17340,17349) = ( 17340 × 17349) / 3
LCM(17340,17349) = 300831660 / 3
LCM(17340,17349) = 100277220

Least Common Multiple (LCM) of 17340 and 17349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17340 and 17349. First we will calculate the prime factors of 17340 and 17349.

Prime Factorization of 17340

Prime Factorization of 17349

Now multiplying the highest exponent prime factors to calculate the LCM of 17340 and 17349.

LCM(17340,17349) = 2² × 3¹ × 5¹ × 17² × 5783¹
LCM(17340,17349) = 100277220