What is the Least Common Multiple of 589 and 608?
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 589 and 608 is 18848.
LCM(589,608) = 18848
Least Common Multiple of 589 and 608 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 589 and 608, than apply into the LCM equation.
GCF(589,608) = 19
LCM(589,608) = ( 589 × 608) / 19
LCM(589,608) = 358112 / 19
LCM(589,608) = 18848
Least Common Multiple (LCM) of 589 and 608 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 589 and 608. First we will calculate the prime factors of 589 and 608.
Prime Factorization of 589
Prime factors of 589 are 19, 31. Prime factorization of 589 in exponential form is:
589 = 191 × 311
Prime Factorization of 608
Prime factors of 608 are 2, 19. Prime factorization of 608 in exponential form is:
608 = 25 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 589 and 608.
LCM(589,608) = 191 × 311 × 25
LCM(589,608) = 18848
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