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What is the Least Common Multiple of 3175 and 3180?

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 3175 and 3180 is 2019300.

LCM(3175,3180) = 2019300

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Least Common Multiple of 3175 and 3180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3175 and 3180, than apply into the LCM equation.

GCF(3175,3180) = 5
LCM(3175,3180) = ( 3175 × 3180) / 5
LCM(3175,3180) = 10096500 / 5
LCM(3175,3180) = 2019300

Least Common Multiple (LCM) of 3175 and 3180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3175 and 3180. First we will calculate the prime factors of 3175 and 3180.

Prime Factorization of 3175

Prime factors of 3175 are 5, 127. Prime factorization of 3175 in exponential form is:

3175 = 52 × 1271

Prime Factorization of 3180

Prime factors of 3180 are 2, 3, 5, 53. Prime factorization of 3180 in exponential form is:

3180 = 22 × 31 × 51 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 3175 and 3180.

LCM(3175,3180) = 52 × 1271 × 22 × 31 × 531
LCM(3175,3180) = 2019300