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What is the Least Common Multiple of 50841 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 50841 and 50855 is 369359865.

LCM(50841,50855) = 369359865

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Least Common Multiple of 50841 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 50841 and 50855, than apply into the LCM equation.

GCF(50841,50855) = 7
LCM(50841,50855) = ( 50841 × 50855) / 7
LCM(50841,50855) = 2585519055 / 7
LCM(50841,50855) = 369359865

Least Common Multiple (LCM) of 50841 and 50855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50841 and 50855. First we will calculate the prime factors of 50841 and 50855.

Prime Factorization of 50841

Prime factors of 50841 are 3, 7, 269. Prime factorization of 50841 in exponential form is:

50841 = 33 × 71 × 2691

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 50841 and 50855.

LCM(50841,50855) = 33 × 71 × 2691 × 51 × 14531
LCM(50841,50855) = 369359865