GCF and LCM Calculator Logo

What is the Least Common Multiple of 55726 and 55742?

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 55726 and 55742 is 1553139346.

LCM(55726,55742) = 1553139346

LCM Calculator and
and

Least Common Multiple of 55726 and 55742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55726 and 55742, than apply into the LCM equation.

GCF(55726,55742) = 2
LCM(55726,55742) = ( 55726 × 55742) / 2
LCM(55726,55742) = 3106278692 / 2
LCM(55726,55742) = 1553139346

Least Common Multiple (LCM) of 55726 and 55742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55726 and 55742. First we will calculate the prime factors of 55726 and 55742.

Prime Factorization of 55726

Prime factors of 55726 are 2, 11, 17, 149. Prime factorization of 55726 in exponential form is:

55726 = 21 × 111 × 171 × 1491

Prime Factorization of 55742

Prime factors of 55742 are 2, 47, 593. Prime factorization of 55742 in exponential form is:

55742 = 21 × 471 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 55726 and 55742.

LCM(55726,55742) = 21 × 111 × 171 × 1491 × 471 × 5931
LCM(55726,55742) = 1553139346