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What is the Least Common Multiple of 17556 and 17562?

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 17556 and 17562 is 51386412.

LCM(17556,17562) = 51386412

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Least Common Multiple of 17556 and 17562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17556 and 17562, than apply into the LCM equation.

GCF(17556,17562) = 6
LCM(17556,17562) = ( 17556 × 17562) / 6
LCM(17556,17562) = 308318472 / 6
LCM(17556,17562) = 51386412

Least Common Multiple (LCM) of 17556 and 17562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17556 and 17562. First we will calculate the prime factors of 17556 and 17562.

Prime Factorization of 17556

Prime factors of 17556 are 2, 3, 7, 11, 19. Prime factorization of 17556 in exponential form is:

17556 = 22 × 31 × 71 × 111 × 191

Prime Factorization of 17562

Prime factors of 17562 are 2, 3, 2927. Prime factorization of 17562 in exponential form is:

17562 = 21 × 31 × 29271

Now multiplying the highest exponent prime factors to calculate the LCM of 17556 and 17562.

LCM(17556,17562) = 22 × 31 × 71 × 111 × 191 × 29271
LCM(17556,17562) = 51386412