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What is the Least Common Multiple of 79843 and 79862?

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 79843 and 79862 is 6376421666.

LCM(79843,79862) = 6376421666

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Least Common Multiple of 79843 and 79862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79843 and 79862, than apply into the LCM equation.

GCF(79843,79862) = 1
LCM(79843,79862) = ( 79843 × 79862) / 1
LCM(79843,79862) = 6376421666 / 1
LCM(79843,79862) = 6376421666

Least Common Multiple (LCM) of 79843 and 79862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79843 and 79862. First we will calculate the prime factors of 79843 and 79862.

Prime Factorization of 79843

Prime factors of 79843 are 79843. Prime factorization of 79843 in exponential form is:

79843 = 798431

Prime Factorization of 79862

Prime factors of 79862 are 2, 73, 547. Prime factorization of 79862 in exponential form is:

79862 = 21 × 731 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 79843 and 79862.

LCM(79843,79862) = 798431 × 21 × 731 × 5471
LCM(79843,79862) = 6376421666