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What is the Least Common Multiple of 3166 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 3166 and 3185 is 10083710.

LCM(3166,3185) = 10083710

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Least Common Multiple of 3166 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 3166 and 3185, than apply into the LCM equation.

GCF(3166,3185) = 1
LCM(3166,3185) = ( 3166 × 3185) / 1
LCM(3166,3185) = 10083710 / 1
LCM(3166,3185) = 10083710

Least Common Multiple (LCM) of 3166 and 3185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3166 and 3185. First we will calculate the prime factors of 3166 and 3185.

Prime Factorization of 3166

Prime factors of 3166 are 2, 1583. Prime factorization of 3166 in exponential form is:

3166 = 21 × 15831

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 3166 and 3185.

LCM(3166,3185) = 21 × 15831 × 51 × 72 × 131
LCM(3166,3185) = 10083710