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What is the Least Common Multiple of 16818 and 16826?

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 16818 and 16826 is 141489834.

LCM(16818,16826) = 141489834

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Least Common Multiple of 16818 and 16826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16818 and 16826, than apply into the LCM equation.

GCF(16818,16826) = 2
LCM(16818,16826) = ( 16818 × 16826) / 2
LCM(16818,16826) = 282979668 / 2
LCM(16818,16826) = 141489834

Least Common Multiple (LCM) of 16818 and 16826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16818 and 16826. First we will calculate the prime factors of 16818 and 16826.

Prime Factorization of 16818

Prime factors of 16818 are 2, 3, 2803. Prime factorization of 16818 in exponential form is:

16818 = 21 × 31 × 28031

Prime Factorization of 16826

Prime factors of 16826 are 2, 47, 179. Prime factorization of 16826 in exponential form is:

16826 = 21 × 471 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 16818 and 16826.

LCM(16818,16826) = 21 × 31 × 28031 × 471 × 1791
LCM(16818,16826) = 141489834