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What is the Least Common Multiple of 26031 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 26031 and 26045 is 677977395.

LCM(26031,26045) = 677977395

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Least Common Multiple of 26031 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 26031 and 26045, than apply into the LCM equation.

GCF(26031,26045) = 1
LCM(26031,26045) = ( 26031 × 26045) / 1
LCM(26031,26045) = 677977395 / 1
LCM(26031,26045) = 677977395

Least Common Multiple (LCM) of 26031 and 26045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26031 and 26045. First we will calculate the prime factors of 26031 and 26045.

Prime Factorization of 26031

Prime factors of 26031 are 3, 8677. Prime factorization of 26031 in exponential form is:

26031 = 31 × 86771

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 26031 and 26045.

LCM(26031,26045) = 31 × 86771 × 51 × 52091
LCM(26031,26045) = 677977395