What is the Least Common Multiple of 99150 and 99170?

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 99150 and 99170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99150 and 99170, than apply into the LCM equation.

GCF(99150,99170) = 10
LCM(99150,99170) = ( 99150 × 99170) / 10
LCM(99150,99170) = 9832705500 / 10
LCM(99150,99170) = 983270550

Least Common Multiple (LCM) of 99150 and 99170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99150 and 99170. First we will calculate the prime factors of 99150 and 99170.

Prime Factorization of 99150

Prime Factorization of 99170

Now multiplying the highest exponent prime factors to calculate the LCM of 99150 and 99170.

LCM(99150,99170) = 2¹ × 3¹ × 5² × 661¹ × 47¹ × 211¹
LCM(99150,99170) = 983270550