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What is the Least Common Multiple of 16635 and 16653?

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 16653 is 92340885.

LCM(16635,16653) = 92340885

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Least Common Multiple of 16635 and 16653 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 16653, than apply into the LCM equation.

GCF(16635,16653) = 3
LCM(16635,16653) = ( 16635 × 16653) / 3
LCM(16635,16653) = 277022655 / 3
LCM(16635,16653) = 92340885

Least Common Multiple (LCM) of 16635 and 16653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16635 and 16653. First we will calculate the prime factors of 16635 and 16653.

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 16653

Prime factors of 16653 are 3, 7, 13, 61. Prime factorization of 16653 in exponential form is:

16653 = 31 × 71 × 131 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 16635 and 16653.

LCM(16635,16653) = 31 × 51 × 11091 × 71 × 131 × 611
LCM(16635,16653) = 92340885