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What is the Least Common Multiple of 52859 and 52869?

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 52859 and 52869 is 2794602471.

LCM(52859,52869) = 2794602471

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Least Common Multiple of 52859 and 52869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52859 and 52869, than apply into the LCM equation.

GCF(52859,52869) = 1
LCM(52859,52869) = ( 52859 × 52869) / 1
LCM(52859,52869) = 2794602471 / 1
LCM(52859,52869) = 2794602471

Least Common Multiple (LCM) of 52859 and 52869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52859 and 52869. First we will calculate the prime factors of 52859 and 52869.

Prime Factorization of 52859

Prime factors of 52859 are 52859. Prime factorization of 52859 in exponential form is:

52859 = 528591

Prime Factorization of 52869

Prime factors of 52869 are 3, 17623. Prime factorization of 52869 in exponential form is:

52869 = 31 × 176231

Now multiplying the highest exponent prime factors to calculate the LCM of 52859 and 52869.

LCM(52859,52869) = 528591 × 31 × 176231
LCM(52859,52869) = 2794602471