What is the Least Common Multiple of 30569 and 30583?
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 30569 and 30583 is 133555961.
LCM(30569,30583) = 133555961
Least Common Multiple of 30569 and 30583 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30569 and 30583, than apply into the LCM equation.
GCF(30569,30583) = 7
LCM(30569,30583) = ( 30569 × 30583) / 7
LCM(30569,30583) = 934891727 / 7
LCM(30569,30583) = 133555961
Least Common Multiple (LCM) of 30569 and 30583 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30569 and 30583. First we will calculate the prime factors of 30569 and 30583.
Prime Factorization of 30569
Prime factors of 30569 are 7, 11, 397. Prime factorization of 30569 in exponential form is:
30569 = 71 × 111 × 3971
Prime Factorization of 30583
Prime factors of 30583 are 7, 17, 257. Prime factorization of 30583 in exponential form is:
30583 = 71 × 171 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 30569 and 30583.
LCM(30569,30583) = 71 × 111 × 3971 × 171 × 2571
LCM(30569,30583) = 133555961
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