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What is the Least Common Multiple of 3171 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 (LCM) of 3171 and 3190 is 10115490.

LCM(3171,3190) = 10115490

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Least Common Multiple of 3171 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 3171 and 3190, than apply into the LCM equation.

GCF(3171,3190) = 1
LCM(3171,3190) = ( 3171 × 3190) / 1
LCM(3171,3190) = 10115490 / 1
LCM(3171,3190) = 10115490

Least Common Multiple (LCM) of 3171 and 3190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3171 and 3190. First we will calculate the prime factors of 3171 and 3190.

Prime Factorization of 3171

Prime factors of 3171 are 3, 7, 151. Prime factorization of 3171 in exponential form is:

3171 = 31 × 71 × 1511

Prime Factorization of 3190

Prime factors of 3190 are 2, 5, 11, 29. Prime factorization of 3190 in exponential form is:

3190 = 21 × 51 × 111 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 3171 and 3190.

LCM(3171,3190) = 31 × 71 × 1511 × 21 × 51 × 111 × 291
LCM(3171,3190) = 10115490