What is the Least Common Multiple of 17300 and 17305?

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 17300 and 17305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17300 and 17305, than apply into the LCM equation.

GCF(17300,17305) = 5
LCM(17300,17305) = ( 17300 × 17305) / 5
LCM(17300,17305) = 299376500 / 5
LCM(17300,17305) = 59875300

Least Common Multiple (LCM) of 17300 and 17305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17300 and 17305. First we will calculate the prime factors of 17300 and 17305.

Prime Factorization of 17300

Prime Factorization of 17305

Now multiplying the highest exponent prime factors to calculate the LCM of 17300 and 17305.

LCM(17300,17305) = 2² × 5² × 173¹ × 3461¹
LCM(17300,17305) = 59875300