What is the Least Common Multiple of 17335 and 17340?

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 17335 and 17340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17335 and 17340, than apply into the LCM equation.

GCF(17335,17340) = 5
LCM(17335,17340) = ( 17335 × 17340) / 5
LCM(17335,17340) = 300588900 / 5
LCM(17335,17340) = 60117780

Least Common Multiple (LCM) of 17335 and 17340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17335 and 17340. First we will calculate the prime factors of 17335 and 17340.

Prime Factorization of 17335

Prime Factorization of 17340

Now multiplying the highest exponent prime factors to calculate the LCM of 17335 and 17340.

LCM(17335,17340) = 5¹ × 3467¹ × 2² × 3¹ × 17²
LCM(17335,17340) = 60117780