What is the Least Common Multiple of 44893 and 44912?
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 44893 and 44912 is 2016234416.
LCM(44893,44912) = 2016234416
Least Common Multiple of 44893 and 44912 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44893 and 44912, than apply into the LCM equation.
GCF(44893,44912) = 1
LCM(44893,44912) = ( 44893 × 44912) / 1
LCM(44893,44912) = 2016234416 / 1
LCM(44893,44912) = 2016234416
Least Common Multiple (LCM) of 44893 and 44912 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44893 and 44912. First we will calculate the prime factors of 44893 and 44912.
Prime Factorization of 44893
Prime factors of 44893 are 44893. Prime factorization of 44893 in exponential form is:
44893 = 448931
Prime Factorization of 44912
Prime factors of 44912 are 2, 7, 401. Prime factorization of 44912 in exponential form is:
44912 = 24 × 71 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 44893 and 44912.
LCM(44893,44912) = 448931 × 24 × 71 × 4011
LCM(44893,44912) = 2016234416
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