What is the Least Common Multiple of 593 and 612?
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 593 and 612 is 362916.
LCM(593,612) = 362916
Least Common Multiple of 593 and 612 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 593 and 612, than apply into the LCM equation.
GCF(593,612) = 1
LCM(593,612) = ( 593 × 612) / 1
LCM(593,612) = 362916 / 1
LCM(593,612) = 362916
Least Common Multiple (LCM) of 593 and 612 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 593 and 612. First we will calculate the prime factors of 593 and 612.
Prime Factorization of 593
Prime factors of 593 are 593. Prime factorization of 593 in exponential form is:
593 = 5931
Prime Factorization of 612
Prime factors of 612 are 2, 3, 17. Prime factorization of 612 in exponential form is:
612 = 22 × 32 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 593 and 612.
LCM(593,612) = 5931 × 22 × 32 × 171
LCM(593,612) = 362916
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