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What is the Least Common Multiple of 79859 and 79865?

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 79859 and 79865 is 6377939035.

LCM(79859,79865) = 6377939035

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Least Common Multiple of 79859 and 79865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79859 and 79865, than apply into the LCM equation.

GCF(79859,79865) = 1
LCM(79859,79865) = ( 79859 × 79865) / 1
LCM(79859,79865) = 6377939035 / 1
LCM(79859,79865) = 6377939035

Least Common Multiple (LCM) of 79859 and 79865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79859 and 79865. First we will calculate the prime factors of 79859 and 79865.

Prime Factorization of 79859

Prime factors of 79859 are 13, 6143. Prime factorization of 79859 in exponential form is:

79859 = 131 × 61431

Prime Factorization of 79865

Prime factors of 79865 are 5, 15973. Prime factorization of 79865 in exponential form is:

79865 = 51 × 159731

Now multiplying the highest exponent prime factors to calculate the LCM of 79859 and 79865.

LCM(79859,79865) = 131 × 61431 × 51 × 159731
LCM(79859,79865) = 6377939035