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What is the Least Common Multiple of 41861 and 41865?

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 41861 and 41865 is 1752510765.

LCM(41861,41865) = 1752510765

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Least Common Multiple of 41861 and 41865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41861 and 41865, than apply into the LCM equation.

GCF(41861,41865) = 1
LCM(41861,41865) = ( 41861 × 41865) / 1
LCM(41861,41865) = 1752510765 / 1
LCM(41861,41865) = 1752510765

Least Common Multiple (LCM) of 41861 and 41865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41861 and 41865. First we will calculate the prime factors of 41861 and 41865.

Prime Factorization of 41861

Prime factors of 41861 are 41, 1021. Prime factorization of 41861 in exponential form is:

41861 = 411 × 10211

Prime Factorization of 41865

Prime factors of 41865 are 3, 5, 2791. Prime factorization of 41865 in exponential form is:

41865 = 31 × 51 × 27911

Now multiplying the highest exponent prime factors to calculate the LCM of 41861 and 41865.

LCM(41861,41865) = 411 × 10211 × 31 × 51 × 27911
LCM(41861,41865) = 1752510765