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What is the Least Common Multiple of 13535 and 13551?

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 13535 and 13551 is 183412785.

LCM(13535,13551) = 183412785

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Least Common Multiple of 13535 and 13551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13535 and 13551, than apply into the LCM equation.

GCF(13535,13551) = 1
LCM(13535,13551) = ( 13535 × 13551) / 1
LCM(13535,13551) = 183412785 / 1
LCM(13535,13551) = 183412785

Least Common Multiple (LCM) of 13535 and 13551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13535 and 13551. First we will calculate the prime factors of 13535 and 13551.

Prime Factorization of 13535

Prime factors of 13535 are 5, 2707. Prime factorization of 13535 in exponential form is:

13535 = 51 × 27071

Prime Factorization of 13551

Prime factors of 13551 are 3, 4517. Prime factorization of 13551 in exponential form is:

13551 = 31 × 45171

Now multiplying the highest exponent prime factors to calculate the LCM of 13535 and 13551.

LCM(13535,13551) = 51 × 27071 × 31 × 45171
LCM(13535,13551) = 183412785