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What is the Least Common Multiple of 17553 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 17553 and 17562 is 102755262.

LCM(17553,17562) = 102755262

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Least Common Multiple of 17553 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 17553 and 17562, than apply into the LCM equation.

GCF(17553,17562) = 3
LCM(17553,17562) = ( 17553 × 17562) / 3
LCM(17553,17562) = 308265786 / 3
LCM(17553,17562) = 102755262

Least Common Multiple (LCM) of 17553 and 17562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17553 and 17562. First we will calculate the prime factors of 17553 and 17562.

Prime Factorization of 17553

Prime factors of 17553 are 3, 5851. Prime factorization of 17553 in exponential form is:

17553 = 31 × 58511

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 17553 and 17562.

LCM(17553,17562) = 31 × 58511 × 21 × 29271
LCM(17553,17562) = 102755262