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What is the Least Common Multiple of 16635 and 16639?

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 16639 is 276789765.

LCM(16635,16639) = 276789765

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Least Common Multiple of 16635 and 16639 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 16639, than apply into the LCM equation.

GCF(16635,16639) = 1
LCM(16635,16639) = ( 16635 × 16639) / 1
LCM(16635,16639) = 276789765 / 1
LCM(16635,16639) = 276789765

Least Common Multiple (LCM) of 16635 and 16639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16635 and 16639. First we will calculate the prime factors of 16635 and 16639.

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 16639

Prime factors of 16639 are 7, 2377. Prime factorization of 16639 in exponential form is:

16639 = 71 × 23771

Now multiplying the highest exponent prime factors to calculate the LCM of 16635 and 16639.

LCM(16635,16639) = 31 × 51 × 11091 × 71 × 23771
LCM(16635,16639) = 276789765