What is the Least Common Multiple of 17316 and 17335?

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 17316 and 17335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17316 and 17335, than apply into the LCM equation.

GCF(17316,17335) = 1
LCM(17316,17335) = ( 17316 × 17335) / 1
LCM(17316,17335) = 300172860 / 1
LCM(17316,17335) = 300172860

Least Common Multiple (LCM) of 17316 and 17335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17316 and 17335. First we will calculate the prime factors of 17316 and 17335.

Prime Factorization of 17316

Prime Factorization of 17335

Now multiplying the highest exponent prime factors to calculate the LCM of 17316 and 17335.

LCM(17316,17335) = 2² × 3² × 13¹ × 37¹ × 5¹ × 3467¹
LCM(17316,17335) = 300172860