What is the Least Common Multiple of 3170 and 3175?

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 3170 and 3175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3170 and 3175, than apply into the LCM equation.

GCF(3170,3175) = 5
LCM(3170,3175) = ( 3170 × 3175) / 5
LCM(3170,3175) = 10064750 / 5
LCM(3170,3175) = 2012950

Least Common Multiple (LCM) of 3170 and 3175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3170 and 3175. First we will calculate the prime factors of 3170 and 3175.

Prime Factorization of 3170

Prime Factorization of 3175

Now multiplying the highest exponent prime factors to calculate the LCM of 3170 and 3175.

LCM(3170,3175) = 2¹ × 5² × 317¹ × 127¹
LCM(3170,3175) = 2012950