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What is the Least Common Multiple of 3657 and 3669?

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 3669 is 4472511.

LCM(3657,3669) = 4472511

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Least Common Multiple of 3657 and 3669 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 3669, than apply into the LCM equation.

GCF(3657,3669) = 3
LCM(3657,3669) = ( 3657 × 3669) / 3
LCM(3657,3669) = 13417533 / 3
LCM(3657,3669) = 4472511

Least Common Multiple (LCM) of 3657 and 3669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3657 and 3669. First we will calculate the prime factors of 3657 and 3669.

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 3669

Prime factors of 3669 are 3, 1223. Prime factorization of 3669 in exponential form is:

3669 = 31 × 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 3657 and 3669.

LCM(3657,3669) = 31 × 231 × 531 × 12231
LCM(3657,3669) = 4472511