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What is the Least Common Multiple of 3667 and 3686?

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 3667 and 3686 is 711398.

LCM(3667,3686) = 711398

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Least Common Multiple of 3667 and 3686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3667 and 3686, than apply into the LCM equation.

GCF(3667,3686) = 19
LCM(3667,3686) = ( 3667 × 3686) / 19
LCM(3667,3686) = 13516562 / 19
LCM(3667,3686) = 711398

Least Common Multiple (LCM) of 3667 and 3686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3667 and 3686. First we will calculate the prime factors of 3667 and 3686.

Prime Factorization of 3667

Prime factors of 3667 are 19, 193. Prime factorization of 3667 in exponential form is:

3667 = 191 × 1931

Prime Factorization of 3686

Prime factors of 3686 are 2, 19, 97. Prime factorization of 3686 in exponential form is:

3686 = 21 × 191 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 3667 and 3686.

LCM(3667,3686) = 191 × 1931 × 21 × 971
LCM(3667,3686) = 711398