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What is the Least Common Multiple of 3163 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 (LCM) of 3163 and 3170 is 10026710.

LCM(3163,3170) = 10026710

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Least Common Multiple of 3163 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 3163 and 3170, than apply into the LCM equation.

GCF(3163,3170) = 1
LCM(3163,3170) = ( 3163 × 3170) / 1
LCM(3163,3170) = 10026710 / 1
LCM(3163,3170) = 10026710

Least Common Multiple (LCM) of 3163 and 3170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3163 and 3170. First we will calculate the prime factors of 3163 and 3170.

Prime Factorization of 3163

Prime factors of 3163 are 3163. Prime factorization of 3163 in exponential form is:

3163 = 31631

Prime Factorization of 3170

Prime factors of 3170 are 2, 5, 317. Prime factorization of 3170 in exponential form is:

3170 = 21 × 51 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 3163 and 3170.

LCM(3163,3170) = 31631 × 21 × 51 × 3171
LCM(3163,3170) = 10026710