What is the Least Common Multiple of 12170 and 12175?

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 12170 and 12175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12170 and 12175, than apply into the LCM equation.

GCF(12170,12175) = 5
LCM(12170,12175) = ( 12170 × 12175) / 5
LCM(12170,12175) = 148169750 / 5
LCM(12170,12175) = 29633950

Least Common Multiple (LCM) of 12170 and 12175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12170 and 12175. First we will calculate the prime factors of 12170 and 12175.

Prime Factorization of 12170

Prime Factorization of 12175

Now multiplying the highest exponent prime factors to calculate the LCM of 12170 and 12175.

LCM(12170,12175) = 2¹ × 5² × 1217¹ × 487¹
LCM(12170,12175) = 29633950