What is the Least Common Multiple of 99330 and 99345?

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 99330 and 99345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99330 and 99345, than apply into the LCM equation.

GCF(99330,99345) = 15
LCM(99330,99345) = ( 99330 × 99345) / 15
LCM(99330,99345) = 9867938850 / 15
LCM(99330,99345) = 657862590

Least Common Multiple (LCM) of 99330 and 99345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99330 and 99345. First we will calculate the prime factors of 99330 and 99345.

Prime Factorization of 99330

Prime Factorization of 99345

Now multiplying the highest exponent prime factors to calculate the LCM of 99330 and 99345.

LCM(99330,99345) = 2¹ × 3¹ × 5¹ × 7¹ × 11¹ × 43¹ × 37¹ × 179¹
LCM(99330,99345) = 657862590