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What is the Least Common Multiple of 3181 and 3185?

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 3181 and 3185 is 10131485.

LCM(3181,3185) = 10131485

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Least Common Multiple of 3181 and 3185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3181 and 3185, than apply into the LCM equation.

GCF(3181,3185) = 1
LCM(3181,3185) = ( 3181 × 3185) / 1
LCM(3181,3185) = 10131485 / 1
LCM(3181,3185) = 10131485

Least Common Multiple (LCM) of 3181 and 3185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3181 and 3185. First we will calculate the prime factors of 3181 and 3185.

Prime Factorization of 3181

Prime factors of 3181 are 3181. Prime factorization of 3181 in exponential form is:

3181 = 31811

Prime Factorization of 3185

Prime factors of 3185 are 5, 7, 13. Prime factorization of 3185 in exponential form is:

3185 = 51 × 72 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 3181 and 3185.

LCM(3181,3185) = 31811 × 51 × 72 × 131
LCM(3181,3185) = 10131485