GCF and LCM Calculator Logo

What is the Least Common Multiple of 10741 and 10749?

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 10741 and 10749 is 115455009.

LCM(10741,10749) = 115455009

LCM Calculator and
and

Least Common Multiple of 10741 and 10749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10741 and 10749, than apply into the LCM equation.

GCF(10741,10749) = 1
LCM(10741,10749) = ( 10741 × 10749) / 1
LCM(10741,10749) = 115455009 / 1
LCM(10741,10749) = 115455009

Least Common Multiple (LCM) of 10741 and 10749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10741 and 10749. First we will calculate the prime factors of 10741 and 10749.

Prime Factorization of 10741

Prime factors of 10741 are 23, 467. Prime factorization of 10741 in exponential form is:

10741 = 231 × 4671

Prime Factorization of 10749

Prime factors of 10749 are 3, 3583. Prime factorization of 10749 in exponential form is:

10749 = 31 × 35831

Now multiplying the highest exponent prime factors to calculate the LCM of 10741 and 10749.

LCM(10741,10749) = 231 × 4671 × 31 × 35831
LCM(10741,10749) = 115455009