Least Common Multiple of 26320 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 26320 and 26325 the smallest integer that is 138574800 that is divisible by both numbers.

Least Common Multiple (LCM) of 26320 and 26325 is 138574800.

LCM(26320,26325) = 138574800

LCM of 26320 and 26325

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

LCM of:
and

Least Common Multiple of 26320 and 26325

LCM of 26320 and 26325 is 138574800

Least common multiple can be found by multiplying the highest exponent prime factors of 26320 and 26325. First we will calculate the prime factors of 26320 and 26325.

Prime Factorization of 26320


2 26320
2 13160
2 6580
2 3290
5 1645
7 329
47 47
1

Prime factors of 26320 are 2, 5, 7,47. Prime factorization of 26320 in exponential form is:

26320 = 24×51×71×471

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 26320 and 26325.

LCM(26320,26325) = 24×34×52×71×131×471
LCM(26320,26325) = 138574800

Factors of 26320

List of positive integer factors of 26320 that divides 26320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 47, 56, 70, 80, 94, 112, 140, 188, 235, 280, 329, 376, 470, 560, 658, 752, 940, 1316, 1645, 1880, 2632, 3290, 3760, 5264, 6580, 13160, 26320

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 26320 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 26320 and 26325, than apply into the LCM equation.

GCF(26320,26325) = 5
LCM(26320,26325) = ( 26320 × 26325) / 5
LCM(26320,26325) = 692874000 / 5
LCM(26320,26325) = 138574800

Properties of LCM 26320 and 26325

(i) The LCM of 26325 and 26320 is associative

LCM of 26320 and 26325 = LCM of 26325 and 26320

Related Least Common Multiples of 26320

Related Least Common Multiples of 26325

Frequently Asked Questions on LCM of 26320 and 26325

1. What is the LCM of 26320 and 26325?

Answer: LCM of 26320 and 26325 is 138574800.

2. What are the Factors of 26320?

Answer: Factors of 26320 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 47, 56, 70, 80, 94, 112, 140, 188, 235, 280, 329, 376, 470, 560, 658, 752, 940, 1316, 1645, 1880, 2632, 3290, 3760, 5264, 6580, 13160, 26320. There are 40 integers that are factors of 26320. The greatest factor of 26320 is 26320.

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 26320 and 26325?

Answer:

Least Common Multiple of 26320 and 26325 = 138574800

Step 1: Find the prime factorization of 26320

26320 = 2 x 2 x 2 x 2 x 5 x 7 x 47

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 = 138574800 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 7 x 13 x 47

Step 4: Therefore, the least common multiple of 26320 and 26325 is 138574800.