What is the Least Common Multiple of 582 and 596?
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 582 and 596 is 173436.
LCM(582,596) = 173436
Least Common Multiple of 582 and 596 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 582 and 596, than apply into the LCM equation.
GCF(582,596) = 2
LCM(582,596) = ( 582 × 596) / 2
LCM(582,596) = 346872 / 2
LCM(582,596) = 173436
Least Common Multiple (LCM) of 582 and 596 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 582 and 596. First we will calculate the prime factors of 582 and 596.
Prime Factorization of 582
Prime factors of 582 are 2, 3, 97. Prime factorization of 582 in exponential form is:
582 = 21 × 31 × 971
Prime Factorization of 596
Prime factors of 596 are 2, 149. Prime factorization of 596 in exponential form is:
596 = 22 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 582 and 596.
LCM(582,596) = 22 × 31 × 971 × 1491
LCM(582,596) = 173436
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