What is the Least Common Multiple of 595 and 614?
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 595 and 614 is 365330.
LCM(595,614) = 365330
Least Common Multiple of 595 and 614 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 595 and 614, than apply into the LCM equation.
GCF(595,614) = 1
LCM(595,614) = ( 595 × 614) / 1
LCM(595,614) = 365330 / 1
LCM(595,614) = 365330
Least Common Multiple (LCM) of 595 and 614 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 595 and 614. First we will calculate the prime factors of 595 and 614.
Prime Factorization of 595
Prime factors of 595 are 5, 7, 17. Prime factorization of 595 in exponential form is:
595 = 51 × 71 × 171
Prime Factorization of 614
Prime factors of 614 are 2, 307. Prime factorization of 614 in exponential form is:
614 = 21 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 595 and 614.
LCM(595,614) = 51 × 71 × 171 × 21 × 3071
LCM(595,614) = 365330
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