What is the Least Common Multiple of 586 and 604?
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 604 is 176972.
LCM(586,604) = 176972
Least Common Multiple of 586 and 604 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 604, than apply into the LCM equation.
GCF(586,604) = 2
LCM(586,604) = ( 586 × 604) / 2
LCM(586,604) = 353944 / 2
LCM(586,604) = 176972
Least Common Multiple (LCM) of 586 and 604 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 586 and 604. First we will calculate the prime factors of 586 and 604.
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 604
Prime factors of 604 are 2, 151. Prime factorization of 604 in exponential form is:
604 = 22 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 586 and 604.
LCM(586,604) = 22 × 2931 × 1511
LCM(586,604) = 176972
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