What is the Least Common Multiple of 5779 and 5783?
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 5783 is 33419957.
LCM(5779,5783) = 33419957
Least Common Multiple of 5779 and 5783 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 5783, than apply into the LCM equation.
GCF(5779,5783) = 1
LCM(5779,5783) = ( 5779 × 5783) / 1
LCM(5779,5783) = 33419957 / 1
LCM(5779,5783) = 33419957
Least Common Multiple (LCM) of 5779 and 5783 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5779 and 5783. First we will calculate the prime factors of 5779 and 5783.
Prime Factorization of 5779
Prime factors of 5779 are 5779. Prime factorization of 5779 in exponential form is:
5779 = 57791
Prime Factorization of 5783
Prime factors of 5783 are 5783. Prime factorization of 5783 in exponential form is:
5783 = 57831
Now multiplying the highest exponent prime factors to calculate the LCM of 5779 and 5783.
LCM(5779,5783) = 57791 × 57831
LCM(5779,5783) = 33419957
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