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What is the Least Common Multiple of 16719 and 16735?

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 16719 and 16735 is 279792465.

LCM(16719,16735) = 279792465

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Least Common Multiple of 16719 and 16735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16719 and 16735, than apply into the LCM equation.

GCF(16719,16735) = 1
LCM(16719,16735) = ( 16719 × 16735) / 1
LCM(16719,16735) = 279792465 / 1
LCM(16719,16735) = 279792465

Least Common Multiple (LCM) of 16719 and 16735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16719 and 16735. First we will calculate the prime factors of 16719 and 16735.

Prime Factorization of 16719

Prime factors of 16719 are 3, 5573. Prime factorization of 16719 in exponential form is:

16719 = 31 × 55731

Prime Factorization of 16735

Prime factors of 16735 are 5, 3347. Prime factorization of 16735 in exponential form is:

16735 = 51 × 33471

Now multiplying the highest exponent prime factors to calculate the LCM of 16719 and 16735.

LCM(16719,16735) = 31 × 55731 × 51 × 33471
LCM(16719,16735) = 279792465