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What is the Least Common Multiple of 50822 and 50841?

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 50822 and 50841 is 2583841302.

LCM(50822,50841) = 2583841302

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Least Common Multiple of 50822 and 50841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50822 and 50841, than apply into the LCM equation.

GCF(50822,50841) = 1
LCM(50822,50841) = ( 50822 × 50841) / 1
LCM(50822,50841) = 2583841302 / 1
LCM(50822,50841) = 2583841302

Least Common Multiple (LCM) of 50822 and 50841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50822 and 50841. First we will calculate the prime factors of 50822 and 50841.

Prime Factorization of 50822

Prime factors of 50822 are 2, 25411. Prime factorization of 50822 in exponential form is:

50822 = 21 × 254111

Prime Factorization of 50841

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

50841 = 33 × 71 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 50822 and 50841.

LCM(50822,50841) = 21 × 254111 × 33 × 71 × 2691
LCM(50822,50841) = 2583841302