What is the Least Common Multiple of 7170 and 7175?

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 7170 and 7175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7170 and 7175, than apply into the LCM equation.

GCF(7170,7175) = 5
LCM(7170,7175) = ( 7170 × 7175) / 5
LCM(7170,7175) = 51444750 / 5
LCM(7170,7175) = 10288950

Least Common Multiple (LCM) of 7170 and 7175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7170 and 7175. First we will calculate the prime factors of 7170 and 7175.

Prime Factorization of 7170

Prime Factorization of 7175

Now multiplying the highest exponent prime factors to calculate the LCM of 7170 and 7175.

LCM(7170,7175) = 2¹ × 3¹ × 5² × 239¹ × 7¹ × 41¹
LCM(7170,7175) = 10288950