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What is the Least Common Multiple of 92821 and 92841?

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 92821 and 92841 is 8617594461.

LCM(92821,92841) = 8617594461

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Least Common Multiple of 92821 and 92841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92821 and 92841, than apply into the LCM equation.

GCF(92821,92841) = 1
LCM(92821,92841) = ( 92821 × 92841) / 1
LCM(92821,92841) = 8617594461 / 1
LCM(92821,92841) = 8617594461

Least Common Multiple (LCM) of 92821 and 92841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92821 and 92841. First we will calculate the prime factors of 92821 and 92841.

Prime Factorization of 92821

Prime factors of 92821 are 92821. Prime factorization of 92821 in exponential form is:

92821 = 928211

Prime Factorization of 92841

Prime factors of 92841 are 3, 7, 4421. Prime factorization of 92841 in exponential form is:

92841 = 31 × 71 × 44211

Now multiplying the highest exponent prime factors to calculate the LCM of 92821 and 92841.

LCM(92821,92841) = 928211 × 31 × 71 × 44211
LCM(92821,92841) = 8617594461