What is the Least Common Multiple of 50818 and 50822?
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 50818 and 50822 is 1291336198.
LCM(50818,50822) = 1291336198
Least Common Multiple of 50818 and 50822 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50818 and 50822, than apply into the LCM equation.
GCF(50818,50822) = 2
LCM(50818,50822) = ( 50818 × 50822) / 2
LCM(50818,50822) = 2582672396 / 2
LCM(50818,50822) = 1291336198
Least Common Multiple (LCM) of 50818 and 50822 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50818 and 50822. First we will calculate the prime factors of 50818 and 50822.
Prime Factorization of 50818
Prime factors of 50818 are 2, 25409. Prime factorization of 50818 in exponential form is:
50818 = 21 × 254091
Prime Factorization of 50822
Prime factors of 50822 are 2, 25411. Prime factorization of 50822 in exponential form is:
50822 = 21 × 254111
Now multiplying the highest exponent prime factors to calculate the LCM of 50818 and 50822.
LCM(50818,50822) = 21 × 254091 × 254111
LCM(50818,50822) = 1291336198
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Related Least Common Multiples of 50822
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