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What is the Least Common Multiple of 16835 and 16842?

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 16835 and 16842 is 40505010.

LCM(16835,16842) = 40505010

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Least Common Multiple of 16835 and 16842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16835 and 16842, than apply into the LCM equation.

GCF(16835,16842) = 7
LCM(16835,16842) = ( 16835 × 16842) / 7
LCM(16835,16842) = 283535070 / 7
LCM(16835,16842) = 40505010

Least Common Multiple (LCM) of 16835 and 16842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16835 and 16842. First we will calculate the prime factors of 16835 and 16842.

Prime Factorization of 16835

Prime factors of 16835 are 5, 7, 13, 37. Prime factorization of 16835 in exponential form is:

16835 = 51 × 71 × 131 × 371

Prime Factorization of 16842

Prime factors of 16842 are 2, 3, 7, 401. Prime factorization of 16842 in exponential form is:

16842 = 21 × 31 × 71 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 16835 and 16842.

LCM(16835,16842) = 51 × 71 × 131 × 371 × 21 × 31 × 4011
LCM(16835,16842) = 40505010