What is the Least Common Multiple of 9150 and 9170?

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 9150 and 9170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9150 and 9170, than apply into the LCM equation.

GCF(9150,9170) = 10
LCM(9150,9170) = ( 9150 × 9170) / 10
LCM(9150,9170) = 83905500 / 10
LCM(9150,9170) = 8390550

Least Common Multiple (LCM) of 9150 and 9170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9150 and 9170. First we will calculate the prime factors of 9150 and 9170.

Prime Factorization of 9150

Prime Factorization of 9170

Now multiplying the highest exponent prime factors to calculate the LCM of 9150 and 9170.

LCM(9150,9170) = 2¹ × 3¹ × 5² × 61¹ × 7¹ × 131¹
LCM(9150,9170) = 8390550