What is the Least Common Multiple of 586 and 594?
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 586 and 594 is 174042.
LCM(586,594) = 174042
Least Common Multiple of 586 and 594 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 586 and 594, than apply into the LCM equation.
GCF(586,594) = 2
LCM(586,594) = ( 586 × 594) / 2
LCM(586,594) = 348084 / 2
LCM(586,594) = 174042
Least Common Multiple (LCM) of 586 and 594 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 586 and 594. First we will calculate the prime factors of 586 and 594.
Prime Factorization of 586
Prime factors of 586 are 2, 293. Prime factorization of 586 in exponential form is:
586 = 21 × 2931
Prime Factorization of 594
Prime factors of 594 are 2, 3, 11. Prime factorization of 594 in exponential form is:
594 = 21 × 33 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 586 and 594.
LCM(586,594) = 21 × 2931 × 33 × 111
LCM(586,594) = 174042
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