What is the Least Common Multiple of 594 and 609?
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 594 and 609 is 120582.
LCM(594,609) = 120582
Least Common Multiple of 594 and 609 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 594 and 609, than apply into the LCM equation.
GCF(594,609) = 3
LCM(594,609) = ( 594 × 609) / 3
LCM(594,609) = 361746 / 3
LCM(594,609) = 120582
Least Common Multiple (LCM) of 594 and 609 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 594 and 609. First we will calculate the prime factors of 594 and 609.
Prime Factorization of 594
Prime factors of 594 are 2, 3, 11. Prime factorization of 594 in exponential form is:
594 = 21 × 33 × 111
Prime Factorization of 609
Prime factors of 609 are 3, 7, 29. Prime factorization of 609 in exponential form is:
609 = 31 × 71 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 594 and 609.
LCM(594,609) = 21 × 33 × 111 × 71 × 291
LCM(594,609) = 120582
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