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What is the Least Common Multiple of 41848 and 41857?

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 41848 and 41857 is 1751631736.

LCM(41848,41857) = 1751631736

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Least Common Multiple of 41848 and 41857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41848 and 41857, than apply into the LCM equation.

GCF(41848,41857) = 1
LCM(41848,41857) = ( 41848 × 41857) / 1
LCM(41848,41857) = 1751631736 / 1
LCM(41848,41857) = 1751631736

Least Common Multiple (LCM) of 41848 and 41857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41848 and 41857. First we will calculate the prime factors of 41848 and 41857.

Prime Factorization of 41848

Prime factors of 41848 are 2, 5231. Prime factorization of 41848 in exponential form is:

41848 = 23 × 52311

Prime Factorization of 41857

Prime factors of 41857 are 19, 2203. Prime factorization of 41857 in exponential form is:

41857 = 191 × 22031

Now multiplying the highest exponent prime factors to calculate the LCM of 41848 and 41857.

LCM(41848,41857) = 23 × 52311 × 191 × 22031
LCM(41848,41857) = 1751631736