What is the Least Common Multiple of 30583 and 30600?
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 30600 is 55049400.
LCM(30583,30600) = 55049400
Least Common Multiple of 30583 and 30600 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 30600, than apply into the LCM equation.
GCF(30583,30600) = 17
LCM(30583,30600) = ( 30583 × 30600) / 17
LCM(30583,30600) = 935839800 / 17
LCM(30583,30600) = 55049400
Least Common Multiple (LCM) of 30583 and 30600 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30583 and 30600. First we will calculate the prime factors of 30583 and 30600.
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 30600
Prime factors of 30600 are 2, 3, 5, 17. Prime factorization of 30600 in exponential form is:
30600 = 23 × 32 × 52 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 30583 and 30600.
LCM(30583,30600) = 71 × 171 × 2571 × 23 × 32 × 52
LCM(30583,30600) = 55049400
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