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What is the Least Common Multiple of 52843 and 52847?

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 52843 and 52847 is 2792594021.

LCM(52843,52847) = 2792594021

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Least Common Multiple of 52843 and 52847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52843 and 52847, than apply into the LCM equation.

GCF(52843,52847) = 1
LCM(52843,52847) = ( 52843 × 52847) / 1
LCM(52843,52847) = 2792594021 / 1
LCM(52843,52847) = 2792594021

Least Common Multiple (LCM) of 52843 and 52847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52843 and 52847. First we will calculate the prime factors of 52843 and 52847.

Prime Factorization of 52843

Prime factors of 52843 are 7, 7549. Prime factorization of 52843 in exponential form is:

52843 = 71 × 75491

Prime Factorization of 52847

Prime factors of 52847 are 43, 1229. Prime factorization of 52847 in exponential form is:

52847 = 431 × 12291

Now multiplying the highest exponent prime factors to calculate the LCM of 52843 and 52847.

LCM(52843,52847) = 71 × 75491 × 431 × 12291
LCM(52843,52847) = 2792594021