What is the Least Common Multiple of 3160 and 3170?

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 3160 and 3170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3160 and 3170, than apply into the LCM equation.

GCF(3160,3170) = 10
LCM(3160,3170) = ( 3160 × 3170) / 10
LCM(3160,3170) = 10017200 / 10
LCM(3160,3170) = 1001720

Least Common Multiple (LCM) of 3160 and 3170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3160 and 3170. First we will calculate the prime factors of 3160 and 3170.

Prime Factorization of 3160

Prime Factorization of 3170

Now multiplying the highest exponent prime factors to calculate the LCM of 3160 and 3170.

LCM(3160,3170) = 2³ × 5¹ × 79¹ × 317¹
LCM(3160,3170) = 1001720