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What is the Least Common Multiple of 52831 and 52836?

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 52836 is 2791378716.

LCM(52831,52836) = 2791378716

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Least Common Multiple of 52831 and 52836 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 52836, than apply into the LCM equation.

GCF(52831,52836) = 1
LCM(52831,52836) = ( 52831 × 52836) / 1
LCM(52831,52836) = 2791378716 / 1
LCM(52831,52836) = 2791378716

Least Common Multiple (LCM) of 52831 and 52836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52831 and 52836. First we will calculate the prime factors of 52831 and 52836.

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 52836

Prime factors of 52836 are 2, 3, 7, 17, 37. Prime factorization of 52836 in exponential form is:

52836 = 22 × 31 × 71 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 52831 and 52836.

LCM(52831,52836) = 231 × 22971 × 22 × 31 × 71 × 171 × 371
LCM(52831,52836) = 2791378716