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What is the Least Common Multiple of 16917 and 16933?

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 16917 and 16933 is 286455561.

LCM(16917,16933) = 286455561

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Least Common Multiple of 16917 and 16933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16917 and 16933, than apply into the LCM equation.

GCF(16917,16933) = 1
LCM(16917,16933) = ( 16917 × 16933) / 1
LCM(16917,16933) = 286455561 / 1
LCM(16917,16933) = 286455561

Least Common Multiple (LCM) of 16917 and 16933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16917 and 16933. First we will calculate the prime factors of 16917 and 16933.

Prime Factorization of 16917

Prime factors of 16917 are 3, 5639. Prime factorization of 16917 in exponential form is:

16917 = 31 × 56391

Prime Factorization of 16933

Prime factors of 16933 are 7, 41, 59. Prime factorization of 16933 in exponential form is:

16933 = 71 × 411 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 16917 and 16933.

LCM(16917,16933) = 31 × 56391 × 71 × 411 × 591
LCM(16917,16933) = 286455561