What is the Least Common Multiple of 17265 and 17285?

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 17265 and 17285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17265 and 17285, than apply into the LCM equation.

GCF(17265,17285) = 5
LCM(17265,17285) = ( 17265 × 17285) / 5
LCM(17265,17285) = 298425525 / 5
LCM(17265,17285) = 59685105

Least Common Multiple (LCM) of 17265 and 17285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17265 and 17285. First we will calculate the prime factors of 17265 and 17285.

Prime Factorization of 17265

Prime Factorization of 17285

Now multiplying the highest exponent prime factors to calculate the LCM of 17265 and 17285.

LCM(17265,17285) = 3¹ × 5¹ × 1151¹ × 3457¹
LCM(17265,17285) = 59685105