GCF and LCM Calculator Logo

What is the Least Common Multiple of 2753 and 2773?

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 2753 and 2773 is 7634069.

LCM(2753,2773) = 7634069

LCM Calculator and
and

Least Common Multiple of 2753 and 2773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2753 and 2773, than apply into the LCM equation.

GCF(2753,2773) = 1
LCM(2753,2773) = ( 2753 × 2773) / 1
LCM(2753,2773) = 7634069 / 1
LCM(2753,2773) = 7634069

Least Common Multiple (LCM) of 2753 and 2773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2753 and 2773. First we will calculate the prime factors of 2753 and 2773.

Prime Factorization of 2753

Prime factors of 2753 are 2753. Prime factorization of 2753 in exponential form is:

2753 = 27531

Prime Factorization of 2773

Prime factors of 2773 are 47, 59. Prime factorization of 2773 in exponential form is:

2773 = 471 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 2753 and 2773.

LCM(2753,2773) = 27531 × 471 × 591
LCM(2753,2773) = 7634069