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What is the Least Common Multiple of 3632 and 3639?

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 3632 and 3639 is 13216848.

LCM(3632,3639) = 13216848

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Least Common Multiple of 3632 and 3639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3632 and 3639, than apply into the LCM equation.

GCF(3632,3639) = 1
LCM(3632,3639) = ( 3632 × 3639) / 1
LCM(3632,3639) = 13216848 / 1
LCM(3632,3639) = 13216848

Least Common Multiple (LCM) of 3632 and 3639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3632 and 3639. First we will calculate the prime factors of 3632 and 3639.

Prime Factorization of 3632

Prime factors of 3632 are 2, 227. Prime factorization of 3632 in exponential form is:

3632 = 24 × 2271

Prime Factorization of 3639

Prime factors of 3639 are 3, 1213. Prime factorization of 3639 in exponential form is:

3639 = 31 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 3632 and 3639.

LCM(3632,3639) = 24 × 2271 × 31 × 12131
LCM(3632,3639) = 13216848