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What is the Least Common Multiple of 13628 and 13644?

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 13628 and 13644 is 46485108.

LCM(13628,13644) = 46485108

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Least Common Multiple of 13628 and 13644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13628 and 13644, than apply into the LCM equation.

GCF(13628,13644) = 4
LCM(13628,13644) = ( 13628 × 13644) / 4
LCM(13628,13644) = 185940432 / 4
LCM(13628,13644) = 46485108

Least Common Multiple (LCM) of 13628 and 13644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13628 and 13644. First we will calculate the prime factors of 13628 and 13644.

Prime Factorization of 13628

Prime factors of 13628 are 2, 3407. Prime factorization of 13628 in exponential form is:

13628 = 22 × 34071

Prime Factorization of 13644

Prime factors of 13644 are 2, 3, 379. Prime factorization of 13644 in exponential form is:

13644 = 22 × 32 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 13628 and 13644.

LCM(13628,13644) = 22 × 34071 × 32 × 3791
LCM(13628,13644) = 46485108