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What is the Least Common Multiple of 7834 and 7841?

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 7834 and 7841 is 61426394.

LCM(7834,7841) = 61426394

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Least Common Multiple of 7834 and 7841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7834 and 7841, than apply into the LCM equation.

GCF(7834,7841) = 1
LCM(7834,7841) = ( 7834 × 7841) / 1
LCM(7834,7841) = 61426394 / 1
LCM(7834,7841) = 61426394

Least Common Multiple (LCM) of 7834 and 7841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7834 and 7841. First we will calculate the prime factors of 7834 and 7841.

Prime Factorization of 7834

Prime factors of 7834 are 2, 3917. Prime factorization of 7834 in exponential form is:

7834 = 21 × 39171

Prime Factorization of 7841

Prime factors of 7841 are 7841. Prime factorization of 7841 in exponential form is:

7841 = 78411

Now multiplying the highest exponent prime factors to calculate the LCM of 7834 and 7841.

LCM(7834,7841) = 21 × 39171 × 78411
LCM(7834,7841) = 61426394