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What is the Least Common Multiple of 52834 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 52834 and 52846 is 1396032782.

LCM(52834,52846) = 1396032782

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Least Common Multiple of 52834 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 52834 and 52846, than apply into the LCM equation.

GCF(52834,52846) = 2
LCM(52834,52846) = ( 52834 × 52846) / 2
LCM(52834,52846) = 2792065564 / 2
LCM(52834,52846) = 1396032782

Least Common Multiple (LCM) of 52834 and 52846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52834 and 52846. First we will calculate the prime factors of 52834 and 52846.

Prime Factorization of 52834

Prime factors of 52834 are 2, 26417. Prime factorization of 52834 in exponential form is:

52834 = 21 × 264171

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 52834 and 52846.

LCM(52834,52846) = 21 × 264171 × 264231
LCM(52834,52846) = 1396032782