GCF and LCM Calculator Logo

What is the Least Common Multiple of 13730 and 13749?

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 13730 and 13749 is 188773770.

LCM(13730,13749) = 188773770

LCM Calculator and
and

Least Common Multiple of 13730 and 13749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13730 and 13749, than apply into the LCM equation.

GCF(13730,13749) = 1
LCM(13730,13749) = ( 13730 × 13749) / 1
LCM(13730,13749) = 188773770 / 1
LCM(13730,13749) = 188773770

Least Common Multiple (LCM) of 13730 and 13749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13730 and 13749. First we will calculate the prime factors of 13730 and 13749.

Prime Factorization of 13730

Prime factors of 13730 are 2, 5, 1373. Prime factorization of 13730 in exponential form is:

13730 = 21 × 51 × 13731

Prime Factorization of 13749

Prime factors of 13749 are 3, 4583. Prime factorization of 13749 in exponential form is:

13749 = 31 × 45831

Now multiplying the highest exponent prime factors to calculate the LCM of 13730 and 13749.

LCM(13730,13749) = 21 × 51 × 13731 × 31 × 45831
LCM(13730,13749) = 188773770