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What is the Least Common Multiple of 16636 and 16647?

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 16636 and 16647 is 276939492.

LCM(16636,16647) = 276939492

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Least Common Multiple of 16636 and 16647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16636 and 16647, than apply into the LCM equation.

GCF(16636,16647) = 1
LCM(16636,16647) = ( 16636 × 16647) / 1
LCM(16636,16647) = 276939492 / 1
LCM(16636,16647) = 276939492

Least Common Multiple (LCM) of 16636 and 16647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16636 and 16647. First we will calculate the prime factors of 16636 and 16647.

Prime Factorization of 16636

Prime factors of 16636 are 2, 4159. Prime factorization of 16636 in exponential form is:

16636 = 22 × 41591

Prime Factorization of 16647

Prime factors of 16647 are 3, 31, 179. Prime factorization of 16647 in exponential form is:

16647 = 31 × 311 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 16636 and 16647.

LCM(16636,16647) = 22 × 41591 × 31 × 311 × 1791
LCM(16636,16647) = 276939492