GCF and LCM Calculator Logo

What is the Least Common Multiple of 67726 and 67742?

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 67726 and 67742 is 2293947346.

LCM(67726,67742) = 2293947346

LCM Calculator and
and

Least Common Multiple of 67726 and 67742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67726 and 67742, than apply into the LCM equation.

GCF(67726,67742) = 2
LCM(67726,67742) = ( 67726 × 67742) / 2
LCM(67726,67742) = 4587894692 / 2
LCM(67726,67742) = 2293947346

Least Common Multiple (LCM) of 67726 and 67742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67726 and 67742. First we will calculate the prime factors of 67726 and 67742.

Prime Factorization of 67726

Prime factors of 67726 are 2, 33863. Prime factorization of 67726 in exponential form is:

67726 = 21 × 338631

Prime Factorization of 67742

Prime factors of 67742 are 2, 33871. Prime factorization of 67742 in exponential form is:

67742 = 21 × 338711

Now multiplying the highest exponent prime factors to calculate the LCM of 67726 and 67742.

LCM(67726,67742) = 21 × 338631 × 338711
LCM(67726,67742) = 2293947346