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What is the Least Common Multiple of 52831 and 52837?

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 52837 is 2791431547.

LCM(52831,52837) = 2791431547

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Least Common Multiple of 52831 and 52837 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 52837, than apply into the LCM equation.

GCF(52831,52837) = 1
LCM(52831,52837) = ( 52831 × 52837) / 1
LCM(52831,52837) = 2791431547 / 1
LCM(52831,52837) = 2791431547

Least Common Multiple (LCM) of 52831 and 52837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52831 and 52837. First we will calculate the prime factors of 52831 and 52837.

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 52837

Prime factors of 52837 are 52837. Prime factorization of 52837 in exponential form is:

52837 = 528371

Now multiplying the highest exponent prime factors to calculate the LCM of 52831 and 52837.

LCM(52831,52837) = 231 × 22971 × 528371
LCM(52831,52837) = 2791431547