What is the Least Common Multiple of 30583 and 30587?
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 30583 and 30587 is 935442221.
LCM(30583,30587) = 935442221
Least Common Multiple of 30583 and 30587 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30583 and 30587, than apply into the LCM equation.
GCF(30583,30587) = 1
LCM(30583,30587) = ( 30583 × 30587) / 1
LCM(30583,30587) = 935442221 / 1
LCM(30583,30587) = 935442221
Least Common Multiple (LCM) of 30583 and 30587 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30583 and 30587. First we will calculate the prime factors of 30583 and 30587.
Prime Factorization of 30583
Prime factors of 30583 are 7, 17, 257. Prime factorization of 30583 in exponential form is:
30583 = 71 × 171 × 2571
Prime Factorization of 30587
Prime factors of 30587 are 73, 419. Prime factorization of 30587 in exponential form is:
30587 = 731 × 4191
Now multiplying the highest exponent prime factors to calculate the LCM of 30583 and 30587.
LCM(30583,30587) = 71 × 171 × 2571 × 731 × 4191
LCM(30583,30587) = 935442221
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