What is the Least Common Multiple of 17345 and 17364?

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 17345 and 17364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17345 and 17364, than apply into the LCM equation.

GCF(17345,17364) = 1
LCM(17345,17364) = ( 17345 × 17364) / 1
LCM(17345,17364) = 301178580 / 1
LCM(17345,17364) = 301178580

Least Common Multiple (LCM) of 17345 and 17364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17345 and 17364. First we will calculate the prime factors of 17345 and 17364.

Prime Factorization of 17345

Prime Factorization of 17364

Now multiplying the highest exponent prime factors to calculate the LCM of 17345 and 17364.

LCM(17345,17364) = 5¹ × 3469¹ × 2² × 3¹ × 1447¹
LCM(17345,17364) = 301178580