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What is the Least Common Multiple of 7835 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 7835 and 7841 is 61434235.

LCM(7835,7841) = 61434235

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Least Common Multiple of 7835 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 7835 and 7841, than apply into the LCM equation.

GCF(7835,7841) = 1
LCM(7835,7841) = ( 7835 × 7841) / 1
LCM(7835,7841) = 61434235 / 1
LCM(7835,7841) = 61434235

Least Common Multiple (LCM) of 7835 and 7841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7835 and 7841. First we will calculate the prime factors of 7835 and 7841.

Prime Factorization of 7835

Prime factors of 7835 are 5, 1567. Prime factorization of 7835 in exponential form is:

7835 = 51 × 15671

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 7835 and 7841.

LCM(7835,7841) = 51 × 15671 × 78411
LCM(7835,7841) = 61434235