What is the Least Common Multiple of 44848 and 44867?
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 44848 and 44867 is 2012195216.
LCM(44848,44867) = 2012195216
Least Common Multiple of 44848 and 44867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44848 and 44867, than apply into the LCM equation.
GCF(44848,44867) = 1
LCM(44848,44867) = ( 44848 × 44867) / 1
LCM(44848,44867) = 2012195216 / 1
LCM(44848,44867) = 2012195216
Least Common Multiple (LCM) of 44848 and 44867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44848 and 44867. First we will calculate the prime factors of 44848 and 44867.
Prime Factorization of 44848
Prime factors of 44848 are 2, 2803. Prime factorization of 44848 in exponential form is:
44848 = 24 × 28031
Prime Factorization of 44867
Prime factors of 44867 are 44867. Prime factorization of 44867 in exponential form is:
44867 = 448671
Now multiplying the highest exponent prime factors to calculate the LCM of 44848 and 44867.
LCM(44848,44867) = 24 × 28031 × 448671
LCM(44848,44867) = 2012195216
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