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What is the Least Common Multiple of 41861 and 41871?

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 41871 is 1752761931.

LCM(41861,41871) = 1752761931

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Least Common Multiple of 41861 and 41871 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 41871, than apply into the LCM equation.

GCF(41861,41871) = 1
LCM(41861,41871) = ( 41861 × 41871) / 1
LCM(41861,41871) = 1752761931 / 1
LCM(41861,41871) = 1752761931

Least Common Multiple (LCM) of 41861 and 41871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41861 and 41871. First we will calculate the prime factors of 41861 and 41871.

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 41871

Prime factors of 41871 are 3, 17, 821. Prime factorization of 41871 in exponential form is:

41871 = 31 × 171 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 41861 and 41871.

LCM(41861,41871) = 411 × 10211 × 31 × 171 × 8211
LCM(41861,41871) = 1752761931