What is the Least Common Multiple of 30569 and 30573?
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 30573 is 934586037.
LCM(30569,30573) = 934586037
Least Common Multiple of 30569 and 30573 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 30573, than apply into the LCM equation.
GCF(30569,30573) = 1
LCM(30569,30573) = ( 30569 × 30573) / 1
LCM(30569,30573) = 934586037 / 1
LCM(30569,30573) = 934586037
Least Common Multiple (LCM) of 30569 and 30573 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30569 and 30573. First we will calculate the prime factors of 30569 and 30573.
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 30573
Prime factors of 30573 are 3, 43, 79. Prime factorization of 30573 in exponential form is:
30573 = 32 × 431 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 30569 and 30573.
LCM(30569,30573) = 71 × 111 × 3971 × 32 × 431 × 791
LCM(30569,30573) = 934586037
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