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What is the Least Common Multiple of 10833 and 10837?

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 10833 and 10837 is 117397221.

LCM(10833,10837) = 117397221

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Least Common Multiple of 10833 and 10837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10833 and 10837, than apply into the LCM equation.

GCF(10833,10837) = 1
LCM(10833,10837) = ( 10833 × 10837) / 1
LCM(10833,10837) = 117397221 / 1
LCM(10833,10837) = 117397221

Least Common Multiple (LCM) of 10833 and 10837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10833 and 10837. First we will calculate the prime factors of 10833 and 10837.

Prime Factorization of 10833

Prime factors of 10833 are 3, 23, 157. Prime factorization of 10833 in exponential form is:

10833 = 31 × 231 × 1571

Prime Factorization of 10837

Prime factors of 10837 are 10837. Prime factorization of 10837 in exponential form is:

10837 = 108371

Now multiplying the highest exponent prime factors to calculate the LCM of 10833 and 10837.

LCM(10833,10837) = 31 × 231 × 1571 × 108371
LCM(10833,10837) = 117397221