Least Common Multiple of 26321 and 26329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26321 and 26329 the smallest integer that is 693005609 that is divisible by both numbers.

Least Common Multiple (LCM) of 26321 and 26329 is 693005609.

LCM(26321,26329) = 693005609

LCM of 26321 and 26329

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 26321 and 26329

LCM of 26321 and 26329 is 693005609

Least common multiple can be found by multiplying the highest exponent prime factors of 26321 and 26329. First we will calculate the prime factors of 26321 and 26329.

Prime Factorization of 26321


26321 26321
1

Prime factors of 26321 are 26321. Prime factorization of 26321 in exponential form is:

26321 = 263211

Prime Factorization of 26329


113 26329
233 233
1

Prime factors of 26329 are 113,233. Prime factorization of 26329 in exponential form is:

26329 = 1131×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 26321 and 26329.

LCM(26321,26329) = 1131×2331×263211
LCM(26321,26329) = 693005609

Factors of 26321

List of positive integer factors of 26321 that divides 26321 without a remainder.

1, 26321

Factors of 26329

List of positive integer factors of 26329 that divides 26329 without a remainder.

1, 113, 233, 26329

Least Common Multiple of 26321 and 26329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26321 and 26329, than apply into the LCM equation.

GCF(26321,26329) = 1
LCM(26321,26329) = ( 26321 × 26329) / 1
LCM(26321,26329) = 693005609 / 1
LCM(26321,26329) = 693005609

Properties of LCM 26321 and 26329

(i) The LCM of 26329 and 26321 is associative

LCM of 26321 and 26329 = LCM of 26329 and 26321

Related Least Common Multiples of 26321

Related Least Common Multiples of 26329

Frequently Asked Questions on LCM of 26321 and 26329

1. What is the LCM of 26321 and 26329?

Answer: LCM of 26321 and 26329 is 693005609.

2. What are the Factors of 26321?

Answer: Factors of 26321 are 1, 26321. There are 2 integers that are factors of 26321. The greatest factor of 26321 is 26321.

3. What are the Factors of 26329?

Answer: Factors of 26329 are 1, 113, 233, 26329. There are 4 integers that are factors of 26329. The greatest factor of 26329 is 26329.

4. How to Find the LCM of 26321 and 26329?

Answer:

Least Common Multiple of 26321 and 26329 = 693005609

Step 1: Find the prime factorization of 26321

26321 = 26321

Step 2: Find the prime factorization of 26329

26329 = 113 x 233

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 693005609 = 113 x 233 x 26321

Step 4: Therefore, the least common multiple of 26321 and 26329 is 693005609.