Least Common Multiple of 26319 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 26319 and 26325 the smallest integer that is 230949225 that is divisible by both numbers.

Least Common Multiple (LCM) of 26319 and 26325 is 230949225.

LCM(26319,26325) = 230949225

LCM of 26319 and 26325

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

LCM of:
and

Least Common Multiple of 26319 and 26325

LCM of 26319 and 26325 is 230949225

Least common multiple can be found by multiplying the highest exponent prime factors of 26319 and 26325. First we will calculate the prime factors of 26319 and 26325.

Prime Factorization of 26319


3 26319
31 8773
283 283
1

Prime factors of 26319 are 3, 31,283. Prime factorization of 26319 in exponential form is:

26319 = 31×311×2831

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 26319 and 26325.

LCM(26319,26325) = 34×52×131×311×2831
LCM(26319,26325) = 230949225

Factors of 26319

List of positive integer factors of 26319 that divides 26319 without a remainder.

1, 3, 31, 93, 283, 849, 8773, 26319

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 26319 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 26319 and 26325, than apply into the LCM equation.

GCF(26319,26325) = 3
LCM(26319,26325) = ( 26319 × 26325) / 3
LCM(26319,26325) = 692847675 / 3
LCM(26319,26325) = 230949225

Properties of LCM 26319 and 26325

(i) The LCM of 26325 and 26319 is associative

LCM of 26319 and 26325 = LCM of 26325 and 26319

Related Least Common Multiples of 26319

Related Least Common Multiples of 26325

Frequently Asked Questions on LCM of 26319 and 26325

1. What is the LCM of 26319 and 26325?

Answer: LCM of 26319 and 26325 is 230949225.

2. What are the Factors of 26319?

Answer: Factors of 26319 are 1, 3, 31, 93, 283, 849, 8773, 26319. There are 8 integers that are factors of 26319. The greatest factor of 26319 is 26319.

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 26319 and 26325?

Answer:

Least Common Multiple of 26319 and 26325 = 230949225

Step 1: Find the prime factorization of 26319

26319 = 3 x 31 x 283

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 = 230949225 = 3 x 3 x 3 x 3 x 5 x 5 x 13 x 31 x 283

Step 4: Therefore, the least common multiple of 26319 and 26325 is 230949225.