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What is the Least Common Multiple of 17557 and 17565?

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 17557 and 17565 is 308388705.

LCM(17557,17565) = 308388705

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Least Common Multiple of 17557 and 17565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17557 and 17565, than apply into the LCM equation.

GCF(17557,17565) = 1
LCM(17557,17565) = ( 17557 × 17565) / 1
LCM(17557,17565) = 308388705 / 1
LCM(17557,17565) = 308388705

Least Common Multiple (LCM) of 17557 and 17565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17557 and 17565. First we will calculate the prime factors of 17557 and 17565.

Prime Factorization of 17557

Prime factors of 17557 are 97, 181. Prime factorization of 17557 in exponential form is:

17557 = 971 × 1811

Prime Factorization of 17565

Prime factors of 17565 are 3, 5, 1171. Prime factorization of 17565 in exponential form is:

17565 = 31 × 51 × 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 17557 and 17565.

LCM(17557,17565) = 971 × 1811 × 31 × 51 × 11711
LCM(17557,17565) = 308388705