What is the Least Common Multiple of 586 and 603?
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 586 and 603 is 353358.
LCM(586,603) = 353358
Least Common Multiple of 586 and 603 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 586 and 603, than apply into the LCM equation.
GCF(586,603) = 1
LCM(586,603) = ( 586 × 603) / 1
LCM(586,603) = 353358 / 1
LCM(586,603) = 353358
Least Common Multiple (LCM) of 586 and 603 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 586 and 603. First we will calculate the prime factors of 586 and 603.
Prime Factorization of 586
Prime factors of 586 are 2, 293. Prime factorization of 586 in exponential form is:
586 = 21 × 2931
Prime Factorization of 603
Prime factors of 603 are 3, 67. Prime factorization of 603 in exponential form is:
603 = 32 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 586 and 603.
LCM(586,603) = 21 × 2931 × 32 × 671
LCM(586,603) = 353358
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