What is the Least Common Multiple of 50822 and 50835?
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 50835 is 2583536370.
LCM(50822,50835) = 2583536370
Least Common Multiple of 50822 and 50835 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 50835, than apply into the LCM equation.
GCF(50822,50835) = 1
LCM(50822,50835) = ( 50822 × 50835) / 1
LCM(50822,50835) = 2583536370 / 1
LCM(50822,50835) = 2583536370
Least Common Multiple (LCM) of 50822 and 50835 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50822 and 50835. First we will calculate the prime factors of 50822 and 50835.
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 50835
Prime factors of 50835 are 3, 5, 3389. Prime factorization of 50835 in exponential form is:
50835 = 31 × 51 × 33891
Now multiplying the highest exponent prime factors to calculate the LCM of 50822 and 50835.
LCM(50822,50835) = 21 × 254111 × 31 × 51 × 33891
LCM(50822,50835) = 2583536370
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