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What is the Least Common Multiple of 16842 and 16850?

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 16842 and 16850 is 141893850.

LCM(16842,16850) = 141893850

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Least Common Multiple of 16842 and 16850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16842 and 16850, than apply into the LCM equation.

GCF(16842,16850) = 2
LCM(16842,16850) = ( 16842 × 16850) / 2
LCM(16842,16850) = 283787700 / 2
LCM(16842,16850) = 141893850

Least Common Multiple (LCM) of 16842 and 16850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16842 and 16850. First we will calculate the prime factors of 16842 and 16850.

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

Prime Factorization of 16850

Prime factors of 16850 are 2, 5, 337. Prime factorization of 16850 in exponential form is:

16850 = 21 × 52 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 16842 and 16850.

LCM(16842,16850) = 21 × 31 × 71 × 4011 × 52 × 3371
LCM(16842,16850) = 141893850