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What is the Least Common Multiple of 44871 and 44881?

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 44871 and 44881 is 2013855351.

LCM(44871,44881) = 2013855351

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Least Common Multiple of 44871 and 44881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44871 and 44881, than apply into the LCM equation.

GCF(44871,44881) = 1
LCM(44871,44881) = ( 44871 × 44881) / 1
LCM(44871,44881) = 2013855351 / 1
LCM(44871,44881) = 2013855351

Least Common Multiple (LCM) of 44871 and 44881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44871 and 44881. First we will calculate the prime factors of 44871 and 44881.

Prime Factorization of 44871

Prime factors of 44871 are 3, 14957. Prime factorization of 44871 in exponential form is:

44871 = 31 × 149571

Prime Factorization of 44881

Prime factors of 44881 are 37, 1213. Prime factorization of 44881 in exponential form is:

44881 = 371 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 44871 and 44881.

LCM(44871,44881) = 31 × 149571 × 371 × 12131
LCM(44871,44881) = 2013855351