What is the Least Common Multiple of 5779 and 5799?
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 5779 and 5799 is 33512421.
LCM(5779,5799) = 33512421
Least Common Multiple of 5779 and 5799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5779 and 5799, than apply into the LCM equation.
GCF(5779,5799) = 1
LCM(5779,5799) = ( 5779 × 5799) / 1
LCM(5779,5799) = 33512421 / 1
LCM(5779,5799) = 33512421
Least Common Multiple (LCM) of 5779 and 5799 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5779 and 5799. First we will calculate the prime factors of 5779 and 5799.
Prime Factorization of 5779
Prime factors of 5779 are 5779. Prime factorization of 5779 in exponential form is:
5779 = 57791
Prime Factorization of 5799
Prime factors of 5799 are 3, 1933. Prime factorization of 5799 in exponential form is:
5799 = 31 × 19331
Now multiplying the highest exponent prime factors to calculate the LCM of 5779 and 5799.
LCM(5779,5799) = 57791 × 31 × 19331
LCM(5779,5799) = 33512421
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