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What is the Least Common Multiple of 10845 and 10854?

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 10845 and 10854 is 13079070.

LCM(10845,10854) = 13079070

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Least Common Multiple of 10845 and 10854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10845 and 10854, than apply into the LCM equation.

GCF(10845,10854) = 9
LCM(10845,10854) = ( 10845 × 10854) / 9
LCM(10845,10854) = 117711630 / 9
LCM(10845,10854) = 13079070

Least Common Multiple (LCM) of 10845 and 10854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10845 and 10854. First we will calculate the prime factors of 10845 and 10854.

Prime Factorization of 10845

Prime factors of 10845 are 3, 5, 241. Prime factorization of 10845 in exponential form is:

10845 = 32 × 51 × 2411

Prime Factorization of 10854

Prime factors of 10854 are 2, 3, 67. Prime factorization of 10854 in exponential form is:

10854 = 21 × 34 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 10845 and 10854.

LCM(10845,10854) = 34 × 51 × 2411 × 21 × 671
LCM(10845,10854) = 13079070