Least Common Multiple of 26317 and 26325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26317 and 26325 the smallest integer that is 692795025 that is divisible by both numbers.

Least Common Multiple (LCM) of 26317 and 26325 is 692795025.

LCM(26317,26325) = 692795025

LCM of 26317 and 26325

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

LCM of:
and

Least Common Multiple of 26317 and 26325

LCM of 26317 and 26325 is 692795025

Least common multiple can be found by multiplying the highest exponent prime factors of 26317 and 26325. First we will calculate the prime factors of 26317 and 26325.

Prime Factorization of 26317


26317 26317
1

Prime factors of 26317 are 26317. Prime factorization of 26317 in exponential form is:

26317 = 263171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 26317 and 26325.

LCM(26317,26325) = 34×52×131×263171
LCM(26317,26325) = 692795025

Factors of 26317

List of positive integer factors of 26317 that divides 26317 without a remainder.

1, 26317

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

Least Common Multiple of 26317 and 26325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26317 and 26325, than apply into the LCM equation.

GCF(26317,26325) = 1
LCM(26317,26325) = ( 26317 × 26325) / 1
LCM(26317,26325) = 692795025 / 1
LCM(26317,26325) = 692795025

Properties of LCM 26317 and 26325

(i) The LCM of 26325 and 26317 is associative

LCM of 26317 and 26325 = LCM of 26325 and 26317

Related Least Common Multiples of 26317

Related Least Common Multiples of 26325

Frequently Asked Questions on LCM of 26317 and 26325

1. What is the LCM of 26317 and 26325?

Answer: LCM of 26317 and 26325 is 692795025.

2. What are the Factors of 26317?

Answer: Factors of 26317 are 1, 26317. There are 2 integers that are factors of 26317. The greatest factor of 26317 is 26317.

3. 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.

4. How to Find the LCM of 26317 and 26325?

Answer:

Least Common Multiple of 26317 and 26325 = 692795025

Step 1: Find the prime factorization of 26317

26317 = 26317

Step 2: Find the prime factorization of 26325

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

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

LCM = 692795025 = 3 x 3 x 3 x 3 x 5 x 5 x 13 x 26317

Step 4: Therefore, the least common multiple of 26317 and 26325 is 692795025.