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What is the Least Common Multiple of 50833 and 50852?

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 50833 and 50852 is 2584959716.

LCM(50833,50852) = 2584959716

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Least Common Multiple of 50833 and 50852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50833 and 50852, than apply into the LCM equation.

GCF(50833,50852) = 1
LCM(50833,50852) = ( 50833 × 50852) / 1
LCM(50833,50852) = 2584959716 / 1
LCM(50833,50852) = 2584959716

Least Common Multiple (LCM) of 50833 and 50852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50833 and 50852. First we will calculate the prime factors of 50833 and 50852.

Prime Factorization of 50833

Prime factors of 50833 are 50833. Prime factorization of 50833 in exponential form is:

50833 = 508331

Prime Factorization of 50852

Prime factors of 50852 are 2, 12713. Prime factorization of 50852 in exponential form is:

50852 = 22 × 127131

Now multiplying the highest exponent prime factors to calculate the LCM of 50833 and 50852.

LCM(50833,50852) = 508331 × 22 × 127131
LCM(50833,50852) = 2584959716