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What is the Least Common Multiple of 3677 and 3694?

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 3677 and 3694 is 13582838.

LCM(3677,3694) = 13582838

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Least Common Multiple of 3677 and 3694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3677 and 3694, than apply into the LCM equation.

GCF(3677,3694) = 1
LCM(3677,3694) = ( 3677 × 3694) / 1
LCM(3677,3694) = 13582838 / 1
LCM(3677,3694) = 13582838

Least Common Multiple (LCM) of 3677 and 3694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3677 and 3694. First we will calculate the prime factors of 3677 and 3694.

Prime Factorization of 3677

Prime factors of 3677 are 3677. Prime factorization of 3677 in exponential form is:

3677 = 36771

Prime Factorization of 3694

Prime factors of 3694 are 2, 1847. Prime factorization of 3694 in exponential form is:

3694 = 21 × 18471

Now multiplying the highest exponent prime factors to calculate the LCM of 3677 and 3694.

LCM(3677,3694) = 36771 × 21 × 18471
LCM(3677,3694) = 13582838