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What is the Least Common Multiple of 16814 and 16823?

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 16814 and 16823 is 282861922.

LCM(16814,16823) = 282861922

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Least Common Multiple of 16814 and 16823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16814 and 16823, than apply into the LCM equation.

GCF(16814,16823) = 1
LCM(16814,16823) = ( 16814 × 16823) / 1
LCM(16814,16823) = 282861922 / 1
LCM(16814,16823) = 282861922

Least Common Multiple (LCM) of 16814 and 16823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16814 and 16823. First we will calculate the prime factors of 16814 and 16823.

Prime Factorization of 16814

Prime factors of 16814 are 2, 7, 1201. Prime factorization of 16814 in exponential form is:

16814 = 21 × 71 × 12011

Prime Factorization of 16823

Prime factors of 16823 are 16823. Prime factorization of 16823 in exponential form is:

16823 = 168231

Now multiplying the highest exponent prime factors to calculate the LCM of 16814 and 16823.

LCM(16814,16823) = 21 × 71 × 12011 × 168231
LCM(16814,16823) = 282861922