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What is the Least Common Multiple of 3655 and 3667?

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 3655 and 3667 is 13402885.

LCM(3655,3667) = 13402885

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Least Common Multiple of 3655 and 3667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3655 and 3667, than apply into the LCM equation.

GCF(3655,3667) = 1
LCM(3655,3667) = ( 3655 × 3667) / 1
LCM(3655,3667) = 13402885 / 1
LCM(3655,3667) = 13402885

Least Common Multiple (LCM) of 3655 and 3667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3655 and 3667. First we will calculate the prime factors of 3655 and 3667.

Prime Factorization of 3655

Prime factors of 3655 are 5, 17, 43. Prime factorization of 3655 in exponential form is:

3655 = 51 × 171 × 431

Prime Factorization of 3667

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

3667 = 191 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 3655 and 3667.

LCM(3655,3667) = 51 × 171 × 431 × 191 × 1931
LCM(3655,3667) = 13402885