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What is the Least Common Multiple of 71861 and 71879?

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 71861 and 71879 is 5165296819.

LCM(71861,71879) = 5165296819

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Least Common Multiple of 71861 and 71879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71861 and 71879, than apply into the LCM equation.

GCF(71861,71879) = 1
LCM(71861,71879) = ( 71861 × 71879) / 1
LCM(71861,71879) = 5165296819 / 1
LCM(71861,71879) = 5165296819

Least Common Multiple (LCM) of 71861 and 71879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71861 and 71879. First we will calculate the prime factors of 71861 and 71879.

Prime Factorization of 71861

Prime factors of 71861 are 71861. Prime factorization of 71861 in exponential form is:

71861 = 718611

Prime Factorization of 71879

Prime factors of 71879 are 71879. Prime factorization of 71879 in exponential form is:

71879 = 718791

Now multiplying the highest exponent prime factors to calculate the LCM of 71861 and 71879.

LCM(71861,71879) = 718611 × 718791
LCM(71861,71879) = 5165296819