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What is the Least Common Multiple of 3657 and 3671?

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 3657 and 3671 is 13424847.

LCM(3657,3671) = 13424847

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Least Common Multiple of 3657 and 3671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3657 and 3671, than apply into the LCM equation.

GCF(3657,3671) = 1
LCM(3657,3671) = ( 3657 × 3671) / 1
LCM(3657,3671) = 13424847 / 1
LCM(3657,3671) = 13424847

Least Common Multiple (LCM) of 3657 and 3671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3657 and 3671. First we will calculate the prime factors of 3657 and 3671.

Prime Factorization of 3657

Prime factors of 3657 are 3, 23, 53. Prime factorization of 3657 in exponential form is:

3657 = 31 × 231 × 531

Prime Factorization of 3671

Prime factors of 3671 are 3671. Prime factorization of 3671 in exponential form is:

3671 = 36711

Now multiplying the highest exponent prime factors to calculate the LCM of 3657 and 3671.

LCM(3657,3671) = 31 × 231 × 531 × 36711
LCM(3657,3671) = 13424847