Least Common Multiple of 26325 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 26325 and 26329 the smallest integer that is 693110925 that is divisible by both numbers.

Least Common Multiple (LCM) of 26325 and 26329 is 693110925.

LCM(26325,26329) = 693110925

LCM of 26325 and 26329

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

LCM of:
and

Least Common Multiple of 26325 and 26329

LCM of 26325 and 26329 is 693110925

Least common multiple can be found by multiplying the highest exponent prime factors of 26325 and 26329. First we will calculate the prime factors of 26325 and 26329.

Prime Factorization of 26325


3 26325
3 8775
3 2925
3 975
5 325
5 65
13 13
1

Prime factors of 26325 are 3, 5,13. Prime factorization of 26325 in exponential form is:

26325 = 34×52×131

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 26325 and 26329.

LCM(26325,26329) = 34×52×131×1131×2331
LCM(26325,26329) = 693110925

Factors of 26325

List of positive integer factors of 26325 that divides 26325 without a remainder.

1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 81, 117, 135, 195, 225, 325, 351, 405, 585, 675, 975, 1053, 1755, 2025, 2925, 5265, 8775, 26325

Factors of 26329

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

1, 113, 233, 26329

Least Common Multiple of 26325 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 26325 and 26329, than apply into the LCM equation.

GCF(26325,26329) = 1
LCM(26325,26329) = ( 26325 × 26329) / 1
LCM(26325,26329) = 693110925 / 1
LCM(26325,26329) = 693110925

Properties of LCM 26325 and 26329

(i) The LCM of 26329 and 26325 is associative

LCM of 26325 and 26329 = LCM of 26329 and 26325

Related Least Common Multiples of 26325

Related Least Common Multiples of 26329

Frequently Asked Questions on LCM of 26325 and 26329

1. What is the LCM of 26325 and 26329?

Answer: LCM of 26325 and 26329 is 693110925.

2. What are the Factors of 26325?

Answer: Factors of 26325 are 1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 81, 117, 135, 195, 225, 325, 351, 405, 585, 675, 975, 1053, 1755, 2025, 2925, 5265, 8775, 26325. There are 30 integers that are factors of 26325. The greatest factor of 26325 is 26325.

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 26325 and 26329?

Answer:

Least Common Multiple of 26325 and 26329 = 693110925

Step 1: Find the prime factorization of 26325

26325 = 3 x 3 x 3 x 3 x 5 x 5 x 13

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 = 693110925 = 3 x 3 x 3 x 3 x 5 x 5 x 13 x 113 x 233

Step 4: Therefore, the least common multiple of 26325 and 26329 is 693110925.