What is the Least Common Multiple of 10577 and 10592?
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 10577 and 10592 is 112031584.
LCM(10577,10592) = 112031584
Least Common Multiple of 10577 and 10592 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10577 and 10592, than apply into the LCM equation.
GCF(10577,10592) = 1
LCM(10577,10592) = ( 10577 × 10592) / 1
LCM(10577,10592) = 112031584 / 1
LCM(10577,10592) = 112031584
Least Common Multiple (LCM) of 10577 and 10592 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10577 and 10592. First we will calculate the prime factors of 10577 and 10592.
Prime Factorization of 10577
Prime factors of 10577 are 7, 1511. Prime factorization of 10577 in exponential form is:
10577 = 71 × 15111
Prime Factorization of 10592
Prime factors of 10592 are 2, 331. Prime factorization of 10592 in exponential form is:
10592 = 25 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 10577 and 10592.
LCM(10577,10592) = 71 × 15111 × 25 × 3311
LCM(10577,10592) = 112031584
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