What is the Least Common Multiple of 93585 and 93597?

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 93585 and 93597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93585 and 93597, than apply into the LCM equation.

GCF(93585,93597) = 3
LCM(93585,93597) = ( 93585 × 93597) / 3
LCM(93585,93597) = 8759275245 / 3
LCM(93585,93597) = 2919758415

Least Common Multiple (LCM) of 93585 and 93597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93585 and 93597. First we will calculate the prime factors of 93585 and 93597.

Prime Factorization of 93585

Prime Factorization of 93597

Now multiplying the highest exponent prime factors to calculate the LCM of 93585 and 93597.

LCM(93585,93597) = 3¹ × 5¹ × 17¹ × 367¹ × 7¹ × 4457¹
LCM(93585,93597) = 2919758415