What is the Least Common Multiple of 44081 and 44089?
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 44081 and 44089 is 1943487209.
LCM(44081,44089) = 1943487209
Least Common Multiple of 44081 and 44089 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44081 and 44089, than apply into the LCM equation.
GCF(44081,44089) = 1
LCM(44081,44089) = ( 44081 × 44089) / 1
LCM(44081,44089) = 1943487209 / 1
LCM(44081,44089) = 1943487209
Least Common Multiple (LCM) of 44081 and 44089 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44081 and 44089. First we will calculate the prime factors of 44081 and 44089.
Prime Factorization of 44081
Prime factors of 44081 are 17, 2593. Prime factorization of 44081 in exponential form is:
44081 = 171 × 25931
Prime Factorization of 44089
Prime factors of 44089 are 44089. Prime factorization of 44089 in exponential form is:
44089 = 440891
Now multiplying the highest exponent prime factors to calculate the LCM of 44081 and 44089.
LCM(44081,44089) = 171 × 25931 × 440891
LCM(44081,44089) = 1943487209
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