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What is the Least Common Multiple of 13604 and 13615?

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 13604 and 13615 is 185218460.

LCM(13604,13615) = 185218460

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Least Common Multiple of 13604 and 13615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13604 and 13615, than apply into the LCM equation.

GCF(13604,13615) = 1
LCM(13604,13615) = ( 13604 × 13615) / 1
LCM(13604,13615) = 185218460 / 1
LCM(13604,13615) = 185218460

Least Common Multiple (LCM) of 13604 and 13615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13604 and 13615. First we will calculate the prime factors of 13604 and 13615.

Prime Factorization of 13604

Prime factors of 13604 are 2, 19, 179. Prime factorization of 13604 in exponential form is:

13604 = 22 × 191 × 1791

Prime Factorization of 13615

Prime factors of 13615 are 5, 7, 389. Prime factorization of 13615 in exponential form is:

13615 = 51 × 71 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 13604 and 13615.

LCM(13604,13615) = 22 × 191 × 1791 × 51 × 71 × 3891
LCM(13604,13615) = 185218460