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What is the Least Common Multiple of 16635 and 16649?

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 16635 and 16649 is 276956115.

LCM(16635,16649) = 276956115

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Least Common Multiple of 16635 and 16649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16635 and 16649, than apply into the LCM equation.

GCF(16635,16649) = 1
LCM(16635,16649) = ( 16635 × 16649) / 1
LCM(16635,16649) = 276956115 / 1
LCM(16635,16649) = 276956115

Least Common Multiple (LCM) of 16635 and 16649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16635 and 16649. First we will calculate the prime factors of 16635 and 16649.

Prime Factorization of 16635

Prime factors of 16635 are 3, 5, 1109. Prime factorization of 16635 in exponential form is:

16635 = 31 × 51 × 11091

Prime Factorization of 16649

Prime factors of 16649 are 16649. Prime factorization of 16649 in exponential form is:

16649 = 166491

Now multiplying the highest exponent prime factors to calculate the LCM of 16635 and 16649.

LCM(16635,16649) = 31 × 51 × 11091 × 166491
LCM(16635,16649) = 276956115