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What is the Least Common Multiple of 40863 and 40871?

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 40863 and 40871 is 1670111673.

LCM(40863,40871) = 1670111673

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Least Common Multiple of 40863 and 40871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40863 and 40871, than apply into the LCM equation.

GCF(40863,40871) = 1
LCM(40863,40871) = ( 40863 × 40871) / 1
LCM(40863,40871) = 1670111673 / 1
LCM(40863,40871) = 1670111673

Least Common Multiple (LCM) of 40863 and 40871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40863 and 40871. First we will calculate the prime factors of 40863 and 40871.

Prime Factorization of 40863

Prime factors of 40863 are 3, 53, 257. Prime factorization of 40863 in exponential form is:

40863 = 31 × 531 × 2571

Prime Factorization of 40871

Prime factors of 40871 are 23, 1777. Prime factorization of 40871 in exponential form is:

40871 = 231 × 17771

Now multiplying the highest exponent prime factors to calculate the LCM of 40863 and 40871.

LCM(40863,40871) = 31 × 531 × 2571 × 231 × 17771
LCM(40863,40871) = 1670111673