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What is the Least Common Multiple of 584 and 602?

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 584 and 602 is 175784.

LCM(584,602) = 175784

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Least Common Multiple of 584 and 602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 584 and 602, than apply into the LCM equation.

GCF(584,602) = 2
LCM(584,602) = ( 584 × 602) / 2
LCM(584,602) = 351568 / 2
LCM(584,602) = 175784

Least Common Multiple (LCM) of 584 and 602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 584 and 602. First we will calculate the prime factors of 584 and 602.

Prime Factorization of 584

Prime factors of 584 are 2, 73. Prime factorization of 584 in exponential form is:

584 = 23 × 731

Prime Factorization of 602

Prime factors of 602 are 2, 7, 43. Prime factorization of 602 in exponential form is:

602 = 21 × 71 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 584 and 602.

LCM(584,602) = 23 × 731 × 71 × 431
LCM(584,602) = 175784