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What is the Least Common Multiple of 3170 and 3179?

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 3170 and 3179 is 10077430.

LCM(3170,3179) = 10077430

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Least Common Multiple of 3170 and 3179 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 3179, than apply into the LCM equation.

GCF(3170,3179) = 1
LCM(3170,3179) = ( 3170 × 3179) / 1
LCM(3170,3179) = 10077430 / 1
LCM(3170,3179) = 10077430

Least Common Multiple (LCM) of 3170 and 3179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3170 and 3179. First we will calculate the prime factors of 3170 and 3179.

Prime Factorization of 3170

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

3170 = 21 × 51 × 3171

Prime Factorization of 3179

Prime factors of 3179 are 11, 17. Prime factorization of 3179 in exponential form is:

3179 = 111 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 3170 and 3179.

LCM(3170,3179) = 21 × 51 × 3171 × 111 × 172
LCM(3170,3179) = 10077430