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What is the Least Common Multiple of 79843 and 79851?

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 79851 is 6375543393.

LCM(79843,79851) = 6375543393

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Least Common Multiple of 79843 and 79851 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 79851, than apply into the LCM equation.

GCF(79843,79851) = 1
LCM(79843,79851) = ( 79843 × 79851) / 1
LCM(79843,79851) = 6375543393 / 1
LCM(79843,79851) = 6375543393

Least Common Multiple (LCM) of 79843 and 79851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79843 and 79851. First we will calculate the prime factors of 79843 and 79851.

Prime Factorization of 79843

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

79843 = 798431

Prime Factorization of 79851

Prime factors of 79851 are 3, 43, 619. Prime factorization of 79851 in exponential form is:

79851 = 31 × 431 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 79843 and 79851.

LCM(79843,79851) = 798431 × 31 × 431 × 6191
LCM(79843,79851) = 6375543393