What is the Least Common Multiple of 583 and 591?
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 583 and 591 is 344553.
LCM(583,591) = 344553
Least Common Multiple of 583 and 591 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 583 and 591, than apply into the LCM equation.
GCF(583,591) = 1
LCM(583,591) = ( 583 × 591) / 1
LCM(583,591) = 344553 / 1
LCM(583,591) = 344553
Least Common Multiple (LCM) of 583 and 591 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 583 and 591. First we will calculate the prime factors of 583 and 591.
Prime Factorization of 583
Prime factors of 583 are 11, 53. Prime factorization of 583 in exponential form is:
583 = 111 × 531
Prime Factorization of 591
Prime factors of 591 are 3, 197. Prime factorization of 591 in exponential form is:
591 = 31 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 583 and 591.
LCM(583,591) = 111 × 531 × 31 × 1971
LCM(583,591) = 344553
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