What is the Least Common Multiple of 588 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 588 and 602 is 25284.
LCM(588,602) = 25284
Least Common Multiple of 588 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 588 and 602, than apply into the LCM equation.
GCF(588,602) = 14
LCM(588,602) = ( 588 × 602) / 14
LCM(588,602) = 353976 / 14
LCM(588,602) = 25284
Least Common Multiple (LCM) of 588 and 602 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 588 and 602. First we will calculate the prime factors of 588 and 602.
Prime Factorization of 588
Prime factors of 588 are 2, 3, 7. Prime factorization of 588 in exponential form is:
588 = 22 × 31 × 72
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 588 and 602.
LCM(588,602) = 22 × 31 × 72 × 431
LCM(588,602) = 25284
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