What is the Least Common Multiple of 99330 and 99350?

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 99350 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 99350, than apply into the LCM equation.

GCF(99330,99350) = 10
LCM(99330,99350) = ( 99330 × 99350) / 10
LCM(99330,99350) = 9868435500 / 10
LCM(99330,99350) = 986843550

Least Common Multiple (LCM) of 99330 and 99350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99330 and 99350. First we will calculate the prime factors of 99330 and 99350.

Prime Factorization of 99330

Prime Factorization of 99350

Now multiplying the highest exponent prime factors to calculate the LCM of 99330 and 99350.

LCM(99330,99350) = 2¹ × 3¹ × 5² × 7¹ × 11¹ × 43¹ × 1987¹
LCM(99330,99350) = 986843550