GCF and LCM Calculator Logo

What is the Least Common Multiple of 13943 and 13954?

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 13954 is 194560622.

LCM(13943,13954) = 194560622

LCM Calculator and
and

Least Common Multiple of 13943 and 13954 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 13954, than apply into the LCM equation.

GCF(13943,13954) = 1
LCM(13943,13954) = ( 13943 × 13954) / 1
LCM(13943,13954) = 194560622 / 1
LCM(13943,13954) = 194560622

Least Common Multiple (LCM) of 13943 and 13954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13943 and 13954. First we will calculate the prime factors of 13943 and 13954.

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 13954

Prime factors of 13954 are 2, 6977. Prime factorization of 13954 in exponential form is:

13954 = 21 × 69771

Now multiplying the highest exponent prime factors to calculate the LCM of 13943 and 13954.

LCM(13943,13954) = 731 × 1911 × 21 × 69771
LCM(13943,13954) = 194560622