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What is the Least Common Multiple of 13553 and 13558?

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 13553 and 13558 is 183751574.

LCM(13553,13558) = 183751574

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Least Common Multiple of 13553 and 13558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13553 and 13558, than apply into the LCM equation.

GCF(13553,13558) = 1
LCM(13553,13558) = ( 13553 × 13558) / 1
LCM(13553,13558) = 183751574 / 1
LCM(13553,13558) = 183751574

Least Common Multiple (LCM) of 13553 and 13558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13553 and 13558. First we will calculate the prime factors of 13553 and 13558.

Prime Factorization of 13553

Prime factors of 13553 are 13553. Prime factorization of 13553 in exponential form is:

13553 = 135531

Prime Factorization of 13558

Prime factors of 13558 are 2, 6779. Prime factorization of 13558 in exponential form is:

13558 = 21 × 67791

Now multiplying the highest exponent prime factors to calculate the LCM of 13553 and 13558.

LCM(13553,13558) = 135531 × 21 × 67791
LCM(13553,13558) = 183751574