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What is the Least Common Multiple of 17837 and 17842?

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 17837 and 17842 is 318247754.

LCM(17837,17842) = 318247754

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Least Common Multiple of 17837 and 17842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17837 and 17842, than apply into the LCM equation.

GCF(17837,17842) = 1
LCM(17837,17842) = ( 17837 × 17842) / 1
LCM(17837,17842) = 318247754 / 1
LCM(17837,17842) = 318247754

Least Common Multiple (LCM) of 17837 and 17842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17837 and 17842. First we will calculate the prime factors of 17837 and 17842.

Prime Factorization of 17837

Prime factors of 17837 are 17837. Prime factorization of 17837 in exponential form is:

17837 = 178371

Prime Factorization of 17842

Prime factors of 17842 are 2, 11, 811. Prime factorization of 17842 in exponential form is:

17842 = 21 × 111 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 17837 and 17842.

LCM(17837,17842) = 178371 × 21 × 111 × 8111
LCM(17837,17842) = 318247754