What is the Least Common Multiple of 596 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 596 and 614 is 182972.
LCM(596,614) = 182972
Least Common Multiple of 596 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 596 and 614, than apply into the LCM equation.
GCF(596,614) = 2
LCM(596,614) = ( 596 × 614) / 2
LCM(596,614) = 365944 / 2
LCM(596,614) = 182972
Least Common Multiple (LCM) of 596 and 614 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 596 and 614. First we will calculate the prime factors of 596 and 614.
Prime Factorization of 596
Prime factors of 596 are 2, 149. Prime factorization of 596 in exponential form is:
596 = 22 × 1491
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 596 and 614.
LCM(596,614) = 22 × 1491 × 3071
LCM(596,614) = 182972
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