GCF and LCM Calculator Logo

What is the Least Common Multiple of 13784 and 13801?

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 13784 and 13801 is 190232984.

LCM(13784,13801) = 190232984

LCM Calculator and
and

Least Common Multiple of 13784 and 13801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13784 and 13801, than apply into the LCM equation.

GCF(13784,13801) = 1
LCM(13784,13801) = ( 13784 × 13801) / 1
LCM(13784,13801) = 190232984 / 1
LCM(13784,13801) = 190232984

Least Common Multiple (LCM) of 13784 and 13801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13784 and 13801. First we will calculate the prime factors of 13784 and 13801.

Prime Factorization of 13784

Prime factors of 13784 are 2, 1723. Prime factorization of 13784 in exponential form is:

13784 = 23 × 17231

Prime Factorization of 13801

Prime factors of 13801 are 37, 373. Prime factorization of 13801 in exponential form is:

13801 = 371 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 13784 and 13801.

LCM(13784,13801) = 23 × 17231 × 371 × 3731
LCM(13784,13801) = 190232984