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What is the Least Common Multiple of 50823 and 50843?

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 50823 and 50843 is 2583993789.

LCM(50823,50843) = 2583993789

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Least Common Multiple of 50823 and 50843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50823 and 50843, than apply into the LCM equation.

GCF(50823,50843) = 1
LCM(50823,50843) = ( 50823 × 50843) / 1
LCM(50823,50843) = 2583993789 / 1
LCM(50823,50843) = 2583993789

Least Common Multiple (LCM) of 50823 and 50843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50823 and 50843. First we will calculate the prime factors of 50823 and 50843.

Prime Factorization of 50823

Prime factors of 50823 are 3, 5647. Prime factorization of 50823 in exponential form is:

50823 = 32 × 56471

Prime Factorization of 50843

Prime factors of 50843 are 13, 3911. Prime factorization of 50843 in exponential form is:

50843 = 131 × 39111

Now multiplying the highest exponent prime factors to calculate the LCM of 50823 and 50843.

LCM(50823,50843) = 32 × 56471 × 131 × 39111
LCM(50823,50843) = 2583993789