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What is the Least Common Multiple of 14517 and 14525?

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 14517 and 14525 is 210859425.

LCM(14517,14525) = 210859425

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Least Common Multiple of 14517 and 14525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14517 and 14525, than apply into the LCM equation.

GCF(14517,14525) = 1
LCM(14517,14525) = ( 14517 × 14525) / 1
LCM(14517,14525) = 210859425 / 1
LCM(14517,14525) = 210859425

Least Common Multiple (LCM) of 14517 and 14525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14517 and 14525. First we will calculate the prime factors of 14517 and 14525.

Prime Factorization of 14517

Prime factors of 14517 are 3, 1613. Prime factorization of 14517 in exponential form is:

14517 = 32 × 16131

Prime Factorization of 14525

Prime factors of 14525 are 5, 7, 83. Prime factorization of 14525 in exponential form is:

14525 = 52 × 71 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 14517 and 14525.

LCM(14517,14525) = 32 × 16131 × 52 × 71 × 831
LCM(14517,14525) = 210859425