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What is the Least Common Multiple of 15559 and 15565?

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 15559 and 15565 is 242175835.

LCM(15559,15565) = 242175835

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Least Common Multiple of 15559 and 15565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15559 and 15565, than apply into the LCM equation.

GCF(15559,15565) = 1
LCM(15559,15565) = ( 15559 × 15565) / 1
LCM(15559,15565) = 242175835 / 1
LCM(15559,15565) = 242175835

Least Common Multiple (LCM) of 15559 and 15565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15559 and 15565. First we will calculate the prime factors of 15559 and 15565.

Prime Factorization of 15559

Prime factors of 15559 are 15559. Prime factorization of 15559 in exponential form is:

15559 = 155591

Prime Factorization of 15565

Prime factors of 15565 are 5, 11, 283. Prime factorization of 15565 in exponential form is:

15565 = 51 × 111 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 15559 and 15565.

LCM(15559,15565) = 155591 × 51 × 111 × 2831
LCM(15559,15565) = 242175835