What is the Least Common Multiple of 97150 and 97170?

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 97150 and 97170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97150 and 97170, than apply into the LCM equation.

GCF(97150,97170) = 10
LCM(97150,97170) = ( 97150 × 97170) / 10
LCM(97150,97170) = 9440065500 / 10
LCM(97150,97170) = 944006550

Least Common Multiple (LCM) of 97150 and 97170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97150 and 97170. First we will calculate the prime factors of 97150 and 97170.

Prime Factorization of 97150

Prime Factorization of 97170

Now multiplying the highest exponent prime factors to calculate the LCM of 97150 and 97170.

LCM(97150,97170) = 2¹ × 5² × 29¹ × 67¹ × 3¹ × 41¹ × 79¹
LCM(97150,97170) = 944006550