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What is the Least Common Multiple of 13755 and 13763?

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 13755 and 13763 is 189310065.

LCM(13755,13763) = 189310065

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Least Common Multiple of 13755 and 13763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13755 and 13763, than apply into the LCM equation.

GCF(13755,13763) = 1
LCM(13755,13763) = ( 13755 × 13763) / 1
LCM(13755,13763) = 189310065 / 1
LCM(13755,13763) = 189310065

Least Common Multiple (LCM) of 13755 and 13763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13755 and 13763. First we will calculate the prime factors of 13755 and 13763.

Prime Factorization of 13755

Prime factors of 13755 are 3, 5, 7, 131. Prime factorization of 13755 in exponential form is:

13755 = 31 × 51 × 71 × 1311

Prime Factorization of 13763

Prime factors of 13763 are 13763. Prime factorization of 13763 in exponential form is:

13763 = 137631

Now multiplying the highest exponent prime factors to calculate the LCM of 13755 and 13763.

LCM(13755,13763) = 31 × 51 × 71 × 1311 × 137631
LCM(13755,13763) = 189310065