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What is the Least Common Multiple of 10828 and 10842?

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 10828 and 10842 is 58698588.

LCM(10828,10842) = 58698588

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Least Common Multiple of 10828 and 10842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10828 and 10842, than apply into the LCM equation.

GCF(10828,10842) = 2
LCM(10828,10842) = ( 10828 × 10842) / 2
LCM(10828,10842) = 117397176 / 2
LCM(10828,10842) = 58698588

Least Common Multiple (LCM) of 10828 and 10842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10828 and 10842. First we will calculate the prime factors of 10828 and 10842.

Prime Factorization of 10828

Prime factors of 10828 are 2, 2707. Prime factorization of 10828 in exponential form is:

10828 = 22 × 27071

Prime Factorization of 10842

Prime factors of 10842 are 2, 3, 13, 139. Prime factorization of 10842 in exponential form is:

10842 = 21 × 31 × 131 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 10828 and 10842.

LCM(10828,10842) = 22 × 27071 × 31 × 131 × 1391
LCM(10828,10842) = 58698588