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What is the Least Common Multiple of 50822 and 50837?

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 50837 is 2583638014.

LCM(50822,50837) = 2583638014

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Least Common Multiple of 50822 and 50837 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 50837, than apply into the LCM equation.

GCF(50822,50837) = 1
LCM(50822,50837) = ( 50822 × 50837) / 1
LCM(50822,50837) = 2583638014 / 1
LCM(50822,50837) = 2583638014

Least Common Multiple (LCM) of 50822 and 50837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50822 and 50837. First we will calculate the prime factors of 50822 and 50837.

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 50837

Prime factors of 50837 are 29, 1753. Prime factorization of 50837 in exponential form is:

50837 = 291 × 17531

Now multiplying the highest exponent prime factors to calculate the LCM of 50822 and 50837.

LCM(50822,50837) = 21 × 254111 × 291 × 17531
LCM(50822,50837) = 2583638014