GCF and LCM Calculator Logo

What is the Least Common Multiple of 26028 and 26045?

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 26028 and 26045 is 677899260.

LCM(26028,26045) = 677899260

LCM Calculator and
and

Least Common Multiple of 26028 and 26045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26028 and 26045, than apply into the LCM equation.

GCF(26028,26045) = 1
LCM(26028,26045) = ( 26028 × 26045) / 1
LCM(26028,26045) = 677899260 / 1
LCM(26028,26045) = 677899260

Least Common Multiple (LCM) of 26028 and 26045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26028 and 26045. First we will calculate the prime factors of 26028 and 26045.

Prime Factorization of 26028

Prime factors of 26028 are 2, 3, 241. Prime factorization of 26028 in exponential form is:

26028 = 22 × 33 × 2411

Prime Factorization of 26045

Prime factors of 26045 are 5, 5209. Prime factorization of 26045 in exponential form is:

26045 = 51 × 52091

Now multiplying the highest exponent prime factors to calculate the LCM of 26028 and 26045.

LCM(26028,26045) = 22 × 33 × 2411 × 51 × 52091
LCM(26028,26045) = 677899260