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What is the Least Common Multiple of 17557 and 17561?

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 17561 is 308318477.

LCM(17557,17561) = 308318477

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Least Common Multiple of 17557 and 17561 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 17561, than apply into the LCM equation.

GCF(17557,17561) = 1
LCM(17557,17561) = ( 17557 × 17561) / 1
LCM(17557,17561) = 308318477 / 1
LCM(17557,17561) = 308318477

Least Common Multiple (LCM) of 17557 and 17561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17557 and 17561. First we will calculate the prime factors of 17557 and 17561.

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 17561

Prime factors of 17561 are 17, 1033. Prime factorization of 17561 in exponential form is:

17561 = 171 × 10331

Now multiplying the highest exponent prime factors to calculate the LCM of 17557 and 17561.

LCM(17557,17561) = 971 × 1811 × 171 × 10331
LCM(17557,17561) = 308318477