What is the Least Common Multiple of 50818 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 50818 and 50837 is 2583434666.
LCM(50818,50837) = 2583434666
Least Common Multiple of 50818 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 50818 and 50837, than apply into the LCM equation.
GCF(50818,50837) = 1
LCM(50818,50837) = ( 50818 × 50837) / 1
LCM(50818,50837) = 2583434666 / 1
LCM(50818,50837) = 2583434666
Least Common Multiple (LCM) of 50818 and 50837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50818 and 50837. First we will calculate the prime factors of 50818 and 50837.
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 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 50818 and 50837.
LCM(50818,50837) = 21 × 254091 × 291 × 17531
LCM(50818,50837) = 2583434666
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