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What is the Least Common Multiple of 16921 and 16940?

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 16921 and 16940 is 286641740.

LCM(16921,16940) = 286641740

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Least Common Multiple of 16921 and 16940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16921 and 16940, than apply into the LCM equation.

GCF(16921,16940) = 1
LCM(16921,16940) = ( 16921 × 16940) / 1
LCM(16921,16940) = 286641740 / 1
LCM(16921,16940) = 286641740

Least Common Multiple (LCM) of 16921 and 16940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16921 and 16940. First we will calculate the prime factors of 16921 and 16940.

Prime Factorization of 16921

Prime factors of 16921 are 16921. Prime factorization of 16921 in exponential form is:

16921 = 169211

Prime Factorization of 16940

Prime factors of 16940 are 2, 5, 7, 11. Prime factorization of 16940 in exponential form is:

16940 = 22 × 51 × 71 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 16921 and 16940.

LCM(16921,16940) = 169211 × 22 × 51 × 71 × 112
LCM(16921,16940) = 286641740