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What is the Least Common Multiple of 13943 and 13955?

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 13943 and 13955 is 194574565.

LCM(13943,13955) = 194574565

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Least Common Multiple of 13943 and 13955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13943 and 13955, than apply into the LCM equation.

GCF(13943,13955) = 1
LCM(13943,13955) = ( 13943 × 13955) / 1
LCM(13943,13955) = 194574565 / 1
LCM(13943,13955) = 194574565

Least Common Multiple (LCM) of 13943 and 13955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13943 and 13955. First we will calculate the prime factors of 13943 and 13955.

Prime Factorization of 13943

Prime factors of 13943 are 73, 191. Prime factorization of 13943 in exponential form is:

13943 = 731 × 1911

Prime Factorization of 13955

Prime factors of 13955 are 5, 2791. Prime factorization of 13955 in exponential form is:

13955 = 51 × 27911

Now multiplying the highest exponent prime factors to calculate the LCM of 13943 and 13955.

LCM(13943,13955) = 731 × 1911 × 51 × 27911
LCM(13943,13955) = 194574565