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What is the Least Common Multiple of 79823 and 79843?

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 79823 and 79843 is 6373307789.

LCM(79823,79843) = 6373307789

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Least Common Multiple of 79823 and 79843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79823 and 79843, than apply into the LCM equation.

GCF(79823,79843) = 1
LCM(79823,79843) = ( 79823 × 79843) / 1
LCM(79823,79843) = 6373307789 / 1
LCM(79823,79843) = 6373307789

Least Common Multiple (LCM) of 79823 and 79843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79823 and 79843. First we will calculate the prime factors of 79823 and 79843.

Prime Factorization of 79823

Prime factors of 79823 are 79823. Prime factorization of 79823 in exponential form is:

79823 = 798231

Prime Factorization of 79843

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

79843 = 798431

Now multiplying the highest exponent prime factors to calculate the LCM of 79823 and 79843.

LCM(79823,79843) = 798231 × 798431
LCM(79823,79843) = 6373307789