What is the Least Common Multiple of 99330 and 99336?

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 99336 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 99336, than apply into the LCM equation.

GCF(99330,99336) = 6
LCM(99330,99336) = ( 99330 × 99336) / 6
LCM(99330,99336) = 9867044880 / 6
LCM(99330,99336) = 1644507480

Least Common Multiple (LCM) of 99330 and 99336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99330 and 99336. First we will calculate the prime factors of 99330 and 99336.

Prime Factorization of 99330

Prime Factorization of 99336

Now multiplying the highest exponent prime factors to calculate the LCM of 99330 and 99336.

LCM(99330,99336) = 2³ × 3¹ × 5¹ × 7¹ × 11¹ × 43¹ × 4139¹
LCM(99330,99336) = 1644507480