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What is the Least Common Multiple of 7845 and 7859?

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 7845 and 7859 is 61653855.

LCM(7845,7859) = 61653855

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Least Common Multiple of 7845 and 7859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7845 and 7859, than apply into the LCM equation.

GCF(7845,7859) = 1
LCM(7845,7859) = ( 7845 × 7859) / 1
LCM(7845,7859) = 61653855 / 1
LCM(7845,7859) = 61653855

Least Common Multiple (LCM) of 7845 and 7859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7845 and 7859. First we will calculate the prime factors of 7845 and 7859.

Prime Factorization of 7845

Prime factors of 7845 are 3, 5, 523. Prime factorization of 7845 in exponential form is:

7845 = 31 × 51 × 5231

Prime Factorization of 7859

Prime factors of 7859 are 29, 271. Prime factorization of 7859 in exponential form is:

7859 = 291 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 7845 and 7859.

LCM(7845,7859) = 31 × 51 × 5231 × 291 × 2711
LCM(7845,7859) = 61653855