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What is the Least Common Multiple of 17515 and 17535?

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 17515 and 17535 is 61425105.

LCM(17515,17535) = 61425105

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Least Common Multiple of 17515 and 17535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17515 and 17535, than apply into the LCM equation.

GCF(17515,17535) = 5
LCM(17515,17535) = ( 17515 × 17535) / 5
LCM(17515,17535) = 307125525 / 5
LCM(17515,17535) = 61425105

Least Common Multiple (LCM) of 17515 and 17535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17515 and 17535. First we will calculate the prime factors of 17515 and 17535.

Prime Factorization of 17515

Prime factors of 17515 are 5, 31, 113. Prime factorization of 17515 in exponential form is:

17515 = 51 × 311 × 1131

Prime Factorization of 17535

Prime factors of 17535 are 3, 5, 7, 167. Prime factorization of 17535 in exponential form is:

17535 = 31 × 51 × 71 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 17515 and 17535.

LCM(17515,17535) = 51 × 311 × 1131 × 31 × 71 × 1671
LCM(17515,17535) = 61425105