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What is the Least Common Multiple of 41845 and 41851?

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 41845 and 41851 is 1751255095.

LCM(41845,41851) = 1751255095

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Least Common Multiple of 41845 and 41851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41845 and 41851, than apply into the LCM equation.

GCF(41845,41851) = 1
LCM(41845,41851) = ( 41845 × 41851) / 1
LCM(41845,41851) = 1751255095 / 1
LCM(41845,41851) = 1751255095

Least Common Multiple (LCM) of 41845 and 41851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41845 and 41851. First we will calculate the prime factors of 41845 and 41851.

Prime Factorization of 41845

Prime factors of 41845 are 5, 8369. Prime factorization of 41845 in exponential form is:

41845 = 51 × 83691

Prime Factorization of 41851

Prime factors of 41851 are 41851. Prime factorization of 41851 in exponential form is:

41851 = 418511

Now multiplying the highest exponent prime factors to calculate the LCM of 41845 and 41851.

LCM(41845,41851) = 51 × 83691 × 418511
LCM(41845,41851) = 1751255095