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What is the Least Common Multiple of 17518 and 17525?

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 17518 and 17525 is 307002950.

LCM(17518,17525) = 307002950

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Least Common Multiple of 17518 and 17525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17518 and 17525, than apply into the LCM equation.

GCF(17518,17525) = 1
LCM(17518,17525) = ( 17518 × 17525) / 1
LCM(17518,17525) = 307002950 / 1
LCM(17518,17525) = 307002950

Least Common Multiple (LCM) of 17518 and 17525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17518 and 17525. First we will calculate the prime factors of 17518 and 17525.

Prime Factorization of 17518

Prime factors of 17518 are 2, 19, 461. Prime factorization of 17518 in exponential form is:

17518 = 21 × 191 × 4611

Prime Factorization of 17525

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

17525 = 52 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 17518 and 17525.

LCM(17518,17525) = 21 × 191 × 4611 × 52 × 7011
LCM(17518,17525) = 307002950