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What is the Least Common Multiple of 52831 and 52843?

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 52831 and 52843 is 2791748533.

LCM(52831,52843) = 2791748533

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Least Common Multiple of 52831 and 52843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52831 and 52843, than apply into the LCM equation.

GCF(52831,52843) = 1
LCM(52831,52843) = ( 52831 × 52843) / 1
LCM(52831,52843) = 2791748533 / 1
LCM(52831,52843) = 2791748533

Least Common Multiple (LCM) of 52831 and 52843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52831 and 52843. First we will calculate the prime factors of 52831 and 52843.

Prime Factorization of 52831

Prime factors of 52831 are 23, 2297. Prime factorization of 52831 in exponential form is:

52831 = 231 × 22971

Prime Factorization of 52843

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

52843 = 71 × 75491

Now multiplying the highest exponent prime factors to calculate the LCM of 52831 and 52843.

LCM(52831,52843) = 231 × 22971 × 71 × 75491
LCM(52831,52843) = 2791748533