What is the Least Common Multiple of 30584 and 30604?
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 30584 and 30604 is 233998184.
LCM(30584,30604) = 233998184
Least Common Multiple of 30584 and 30604 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30584 and 30604, than apply into the LCM equation.
GCF(30584,30604) = 4
LCM(30584,30604) = ( 30584 × 30604) / 4
LCM(30584,30604) = 935992736 / 4
LCM(30584,30604) = 233998184
Least Common Multiple (LCM) of 30584 and 30604 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30584 and 30604. First we will calculate the prime factors of 30584 and 30604.
Prime Factorization of 30584
Prime factors of 30584 are 2, 3823. Prime factorization of 30584 in exponential form is:
30584 = 23 × 38231
Prime Factorization of 30604
Prime factors of 30604 are 2, 7, 1093. Prime factorization of 30604 in exponential form is:
30604 = 22 × 71 × 10931
Now multiplying the highest exponent prime factors to calculate the LCM of 30584 and 30604.
LCM(30584,30604) = 23 × 38231 × 71 × 10931
LCM(30584,30604) = 233998184
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