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What is the Least Common Multiple of 3636 and 3655?

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 3636 and 3655 is 13289580.

LCM(3636,3655) = 13289580

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Least Common Multiple of 3636 and 3655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3636 and 3655, than apply into the LCM equation.

GCF(3636,3655) = 1
LCM(3636,3655) = ( 3636 × 3655) / 1
LCM(3636,3655) = 13289580 / 1
LCM(3636,3655) = 13289580

Least Common Multiple (LCM) of 3636 and 3655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3636 and 3655. First we will calculate the prime factors of 3636 and 3655.

Prime Factorization of 3636

Prime factors of 3636 are 2, 3, 101. Prime factorization of 3636 in exponential form is:

3636 = 22 × 32 × 1011

Prime Factorization of 3655

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

3655 = 51 × 171 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 3636 and 3655.

LCM(3636,3655) = 22 × 32 × 1011 × 51 × 171 × 431
LCM(3636,3655) = 13289580