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What is the Least Common Multiple of 17525 and 17542?

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 17525 and 17542 is 307423550.

LCM(17525,17542) = 307423550

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Least Common Multiple of 17525 and 17542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17525 and 17542, than apply into the LCM equation.

GCF(17525,17542) = 1
LCM(17525,17542) = ( 17525 × 17542) / 1
LCM(17525,17542) = 307423550 / 1
LCM(17525,17542) = 307423550

Least Common Multiple (LCM) of 17525 and 17542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17525 and 17542. First we will calculate the prime factors of 17525 and 17542.

Prime Factorization of 17525

Prime factors of 17525 are 5, 701. Prime factorization of 17525 in exponential form is:

17525 = 52 × 7011

Prime Factorization of 17542

Prime factors of 17542 are 2, 7, 179. Prime factorization of 17542 in exponential form is:

17542 = 21 × 72 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 17525 and 17542.

LCM(17525,17542) = 52 × 7011 × 21 × 72 × 1791
LCM(17525,17542) = 307423550