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What is the Least Common Multiple of 41851 and 41855?

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 41851 and 41855 is 1751673605.

LCM(41851,41855) = 1751673605

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Least Common Multiple of 41851 and 41855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41851 and 41855, than apply into the LCM equation.

GCF(41851,41855) = 1
LCM(41851,41855) = ( 41851 × 41855) / 1
LCM(41851,41855) = 1751673605 / 1
LCM(41851,41855) = 1751673605

Least Common Multiple (LCM) of 41851 and 41855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41851 and 41855. First we will calculate the prime factors of 41851 and 41855.

Prime Factorization of 41851

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

41851 = 418511

Prime Factorization of 41855

Prime factors of 41855 are 5, 11, 761. Prime factorization of 41855 in exponential form is:

41855 = 51 × 111 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 41851 and 41855.

LCM(41851,41855) = 418511 × 51 × 111 × 7611
LCM(41851,41855) = 1751673605