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What is the Least Common Multiple of 52846 and 52855?

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 52846 and 52855 is 2793175330.

LCM(52846,52855) = 2793175330

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Least Common Multiple of 52846 and 52855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52846 and 52855, than apply into the LCM equation.

GCF(52846,52855) = 1
LCM(52846,52855) = ( 52846 × 52855) / 1
LCM(52846,52855) = 2793175330 / 1
LCM(52846,52855) = 2793175330

Least Common Multiple (LCM) of 52846 and 52855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52846 and 52855. First we will calculate the prime factors of 52846 and 52855.

Prime Factorization of 52846

Prime factors of 52846 are 2, 26423. Prime factorization of 52846 in exponential form is:

52846 = 21 × 264231

Prime Factorization of 52855

Prime factors of 52855 are 5, 11, 31. Prime factorization of 52855 in exponential form is:

52855 = 51 × 111 × 312

Now multiplying the highest exponent prime factors to calculate the LCM of 52846 and 52855.

LCM(52846,52855) = 21 × 264231 × 51 × 111 × 312
LCM(52846,52855) = 2793175330