What is the Least Common Multiple of 17185 and 17205?

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 17185 and 17205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17185 and 17205, than apply into the LCM equation.

GCF(17185,17205) = 5
LCM(17185,17205) = ( 17185 × 17205) / 5
LCM(17185,17205) = 295667925 / 5
LCM(17185,17205) = 59133585

Least Common Multiple (LCM) of 17185 and 17205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17185 and 17205. First we will calculate the prime factors of 17185 and 17205.

Prime Factorization of 17185

Prime Factorization of 17205

Now multiplying the highest exponent prime factors to calculate the LCM of 17185 and 17205.

LCM(17185,17205) = 5¹ × 7¹ × 491¹ × 3¹ × 31¹ × 37¹
LCM(17185,17205) = 59133585