What is the Least Common Multiple of 3170 and 3190?

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 3190 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 3190, than apply into the LCM equation.

GCF(3170,3190) = 10
LCM(3170,3190) = ( 3170 × 3190) / 10
LCM(3170,3190) = 10112300 / 10
LCM(3170,3190) = 1011230

Least Common Multiple (LCM) of 3170 and 3190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3170 and 3190. First we will calculate the prime factors of 3170 and 3190.

Prime Factorization of 3170

Prime Factorization of 3190

Now multiplying the highest exponent prime factors to calculate the LCM of 3170 and 3190.

LCM(3170,3190) = 2¹ × 5¹ × 317¹ × 11¹ × 29¹
LCM(3170,3190) = 1011230