What is the Least Common Multiple of 9553 and 9559?
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 9553 and 9559 is 91317127.
LCM(9553,9559) = 91317127
Least Common Multiple of 9553 and 9559 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9553 and 9559, than apply into the LCM equation.
GCF(9553,9559) = 1
LCM(9553,9559) = ( 9553 × 9559) / 1
LCM(9553,9559) = 91317127 / 1
LCM(9553,9559) = 91317127
Least Common Multiple (LCM) of 9553 and 9559 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9553 and 9559. First we will calculate the prime factors of 9553 and 9559.
Prime Factorization of 9553
Prime factors of 9553 are 41, 233. Prime factorization of 9553 in exponential form is:
9553 = 411 × 2331
Prime Factorization of 9559
Prime factors of 9559 are 11, 79. Prime factorization of 9559 in exponential form is:
9559 = 112 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 9553 and 9559.
LCM(9553,9559) = 411 × 2331 × 112 × 791
LCM(9553,9559) = 91317127
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