What is the Least Common Multiple of 93597 and 93609?

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 93597 and 93609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93597 and 93609, than apply into the LCM equation.

GCF(93597,93609) = 3
LCM(93597,93609) = ( 93597 × 93609) / 3
LCM(93597,93609) = 8761521573 / 3
LCM(93597,93609) = 2920507191

Least Common Multiple (LCM) of 93597 and 93609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93597 and 93609. First we will calculate the prime factors of 93597 and 93609.

Prime Factorization of 93597

Prime Factorization of 93609

Now multiplying the highest exponent prime factors to calculate the LCM of 93597 and 93609.

LCM(93597,93609) = 3³ × 7¹ × 4457¹ × 3467¹
LCM(93597,93609) = 2920507191