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What is the Least Common Multiple of 13763 and 13770?

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 13763 and 13770 is 189516510.

LCM(13763,13770) = 189516510

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Least Common Multiple of 13763 and 13770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13763 and 13770, than apply into the LCM equation.

GCF(13763,13770) = 1
LCM(13763,13770) = ( 13763 × 13770) / 1
LCM(13763,13770) = 189516510 / 1
LCM(13763,13770) = 189516510

Least Common Multiple (LCM) of 13763 and 13770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13763 and 13770. First we will calculate the prime factors of 13763 and 13770.

Prime Factorization of 13763

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

13763 = 137631

Prime Factorization of 13770

Prime factors of 13770 are 2, 3, 5, 17. Prime factorization of 13770 in exponential form is:

13770 = 21 × 34 × 51 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 13763 and 13770.

LCM(13763,13770) = 137631 × 21 × 34 × 51 × 171
LCM(13763,13770) = 189516510