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What is the Least Common Multiple of 17508 and 17518?

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 17508 and 17518 is 153352572.

LCM(17508,17518) = 153352572

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Least Common Multiple of 17508 and 17518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17508 and 17518, than apply into the LCM equation.

GCF(17508,17518) = 2
LCM(17508,17518) = ( 17508 × 17518) / 2
LCM(17508,17518) = 306705144 / 2
LCM(17508,17518) = 153352572

Least Common Multiple (LCM) of 17508 and 17518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17508 and 17518. First we will calculate the prime factors of 17508 and 17518.

Prime Factorization of 17508

Prime factors of 17508 are 2, 3, 1459. Prime factorization of 17508 in exponential form is:

17508 = 22 × 31 × 14591

Prime Factorization of 17518

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

17518 = 21 × 191 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 17508 and 17518.

LCM(17508,17518) = 22 × 31 × 14591 × 191 × 4611
LCM(17508,17518) = 153352572