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What is the Least Common Multiple of 79841 and 79859?

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 79841 and 79859 is 6376022419.

LCM(79841,79859) = 6376022419

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Least Common Multiple of 79841 and 79859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79841 and 79859, than apply into the LCM equation.

GCF(79841,79859) = 1
LCM(79841,79859) = ( 79841 × 79859) / 1
LCM(79841,79859) = 6376022419 / 1
LCM(79841,79859) = 6376022419

Least Common Multiple (LCM) of 79841 and 79859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79841 and 79859. First we will calculate the prime factors of 79841 and 79859.

Prime Factorization of 79841

Prime factors of 79841 are 79841. Prime factorization of 79841 in exponential form is:

79841 = 798411

Prime Factorization of 79859

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

79859 = 131 × 61431

Now multiplying the highest exponent prime factors to calculate the LCM of 79841 and 79859.

LCM(79841,79859) = 798411 × 131 × 61431
LCM(79841,79859) = 6376022419