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What is the Least Common Multiple of 40871 and 40883?

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 40871 and 40883 is 1670929093.

LCM(40871,40883) = 1670929093

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Least Common Multiple of 40871 and 40883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40871 and 40883, than apply into the LCM equation.

GCF(40871,40883) = 1
LCM(40871,40883) = ( 40871 × 40883) / 1
LCM(40871,40883) = 1670929093 / 1
LCM(40871,40883) = 1670929093

Least Common Multiple (LCM) of 40871 and 40883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40871 and 40883. First we will calculate the prime factors of 40871 and 40883.

Prime Factorization of 40871

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

40871 = 231 × 17771

Prime Factorization of 40883

Prime factors of 40883 are 40883. Prime factorization of 40883 in exponential form is:

40883 = 408831

Now multiplying the highest exponent prime factors to calculate the LCM of 40871 and 40883.

LCM(40871,40883) = 231 × 17771 × 408831
LCM(40871,40883) = 1670929093