What is the Least Common Multiple of 50812 and 50821?
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 50812 and 50821 is 2582316652.
LCM(50812,50821) = 2582316652
Least Common Multiple of 50812 and 50821 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50812 and 50821, than apply into the LCM equation.
GCF(50812,50821) = 1
LCM(50812,50821) = ( 50812 × 50821) / 1
LCM(50812,50821) = 2582316652 / 1
LCM(50812,50821) = 2582316652
Least Common Multiple (LCM) of 50812 and 50821 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50812 and 50821. First we will calculate the prime factors of 50812 and 50821.
Prime Factorization of 50812
Prime factors of 50812 are 2, 12703. Prime factorization of 50812 in exponential form is:
50812 = 22 × 127031
Prime Factorization of 50821
Prime factors of 50821 are 50821. Prime factorization of 50821 in exponential form is:
50821 = 508211
Now multiplying the highest exponent prime factors to calculate the LCM of 50812 and 50821.
LCM(50812,50821) = 22 × 127031 × 508211
LCM(50812,50821) = 2582316652
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Related Least Common Multiples of 50821
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