What is the Least Common Multiple of 17523 and 17531?
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 17523 and 17531 is 307195713.
LCM(17523,17531) = 307195713
Least Common Multiple of 17523 and 17531 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17523 and 17531, than apply into the LCM equation.
GCF(17523,17531) = 1
LCM(17523,17531) = ( 17523 × 17531) / 1
LCM(17523,17531) = 307195713 / 1
LCM(17523,17531) = 307195713
Least Common Multiple (LCM) of 17523 and 17531 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17523 and 17531. First we will calculate the prime factors of 17523 and 17531.
Prime Factorization of 17523
Prime factors of 17523 are 3, 11, 59. Prime factorization of 17523 in exponential form is:
17523 = 33 × 111 × 591
Prime Factorization of 17531
Prime factors of 17531 are 47, 373. Prime factorization of 17531 in exponential form is:
17531 = 471 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 17523 and 17531.
LCM(17523,17531) = 33 × 111 × 591 × 471 × 3731
LCM(17523,17531) = 307195713
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