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What is the Least Common Multiple of 50843 and 50855?

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 50843 and 50855 is 2585620765.

LCM(50843,50855) = 2585620765

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Least Common Multiple of 50843 and 50855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50843 and 50855, than apply into the LCM equation.

GCF(50843,50855) = 1
LCM(50843,50855) = ( 50843 × 50855) / 1
LCM(50843,50855) = 2585620765 / 1
LCM(50843,50855) = 2585620765

Least Common Multiple (LCM) of 50843 and 50855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50843 and 50855. First we will calculate the prime factors of 50843 and 50855.

Prime Factorization of 50843

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

50843 = 131 × 39111

Prime Factorization of 50855

Prime factors of 50855 are 5, 7, 1453. Prime factorization of 50855 in exponential form is:

50855 = 51 × 71 × 14531

Now multiplying the highest exponent prime factors to calculate the LCM of 50843 and 50855.

LCM(50843,50855) = 131 × 39111 × 51 × 71 × 14531
LCM(50843,50855) = 2585620765