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What is the Least Common Multiple of 3661 and 3681?

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 3661 and 3681 is 13476141.

LCM(3661,3681) = 13476141

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Least Common Multiple of 3661 and 3681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3661 and 3681, than apply into the LCM equation.

GCF(3661,3681) = 1
LCM(3661,3681) = ( 3661 × 3681) / 1
LCM(3661,3681) = 13476141 / 1
LCM(3661,3681) = 13476141

Least Common Multiple (LCM) of 3661 and 3681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3661 and 3681. First we will calculate the prime factors of 3661 and 3681.

Prime Factorization of 3661

Prime factors of 3661 are 7, 523. Prime factorization of 3661 in exponential form is:

3661 = 71 × 5231

Prime Factorization of 3681

Prime factors of 3681 are 3, 409. Prime factorization of 3681 in exponential form is:

3681 = 32 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 3661 and 3681.

LCM(3661,3681) = 71 × 5231 × 32 × 4091
LCM(3661,3681) = 13476141