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What is the Least Common Multiple of 15601 and 15615?

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 15601 and 15615 is 243609615.

LCM(15601,15615) = 243609615

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Least Common Multiple of 15601 and 15615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15601 and 15615, than apply into the LCM equation.

GCF(15601,15615) = 1
LCM(15601,15615) = ( 15601 × 15615) / 1
LCM(15601,15615) = 243609615 / 1
LCM(15601,15615) = 243609615

Least Common Multiple (LCM) of 15601 and 15615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15601 and 15615. First we will calculate the prime factors of 15601 and 15615.

Prime Factorization of 15601

Prime factors of 15601 are 15601. Prime factorization of 15601 in exponential form is:

15601 = 156011

Prime Factorization of 15615

Prime factors of 15615 are 3, 5, 347. Prime factorization of 15615 in exponential form is:

15615 = 32 × 51 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 15601 and 15615.

LCM(15601,15615) = 156011 × 32 × 51 × 3471
LCM(15601,15615) = 243609615