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What is the Least Common Multiple of 10833 and 10848?

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 10848 is 39172128.

LCM(10833,10848) = 39172128

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Least Common Multiple of 10833 and 10848 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 10848, than apply into the LCM equation.

GCF(10833,10848) = 3
LCM(10833,10848) = ( 10833 × 10848) / 3
LCM(10833,10848) = 117516384 / 3
LCM(10833,10848) = 39172128

Least Common Multiple (LCM) of 10833 and 10848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10833 and 10848. First we will calculate the prime factors of 10833 and 10848.

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 10848

Prime factors of 10848 are 2, 3, 113. Prime factorization of 10848 in exponential form is:

10848 = 25 × 31 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 10833 and 10848.

LCM(10833,10848) = 31 × 231 × 1571 × 25 × 1131
LCM(10833,10848) = 39172128