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What is the Least Common Multiple of 17636 and 17649?

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 17636 and 17649 is 311257764.

LCM(17636,17649) = 311257764

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Least Common Multiple of 17636 and 17649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17636 and 17649, than apply into the LCM equation.

GCF(17636,17649) = 1
LCM(17636,17649) = ( 17636 × 17649) / 1
LCM(17636,17649) = 311257764 / 1
LCM(17636,17649) = 311257764

Least Common Multiple (LCM) of 17636 and 17649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17636 and 17649. First we will calculate the prime factors of 17636 and 17649.

Prime Factorization of 17636

Prime factors of 17636 are 2, 4409. Prime factorization of 17636 in exponential form is:

17636 = 22 × 44091

Prime Factorization of 17649

Prime factors of 17649 are 3, 37, 53. Prime factorization of 17649 in exponential form is:

17649 = 32 × 371 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 17636 and 17649.

LCM(17636,17649) = 22 × 44091 × 32 × 371 × 531
LCM(17636,17649) = 311257764