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What is the Least Common Multiple of 52831 and 52846?

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 52846 is 2791907026.

LCM(52831,52846) = 2791907026

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Least Common Multiple of 52831 and 52846 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 52846, than apply into the LCM equation.

GCF(52831,52846) = 1
LCM(52831,52846) = ( 52831 × 52846) / 1
LCM(52831,52846) = 2791907026 / 1
LCM(52831,52846) = 2791907026

Least Common Multiple (LCM) of 52831 and 52846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52831 and 52846. First we will calculate the prime factors of 52831 and 52846.

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 52846

Prime factors of 52846 are 2, 26423. Prime factorization of 52846 in exponential form is:

52846 = 21 × 264231

Now multiplying the highest exponent prime factors to calculate the LCM of 52831 and 52846.

LCM(52831,52846) = 231 × 22971 × 21 × 264231
LCM(52831,52846) = 2791907026