Least Common Multiple of 26316 and 26320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26316 and 26320 the smallest integer that is 173159280 that is divisible by both numbers.

Least Common Multiple (LCM) of 26316 and 26320 is 173159280.

LCM(26316,26320) = 173159280

LCM of 26316 and 26320

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

LCM of:
and

Least Common Multiple of 26316 and 26320

LCM of 26316 and 26320 is 173159280

Least common multiple can be found by multiplying the highest exponent prime factors of 26316 and 26320. First we will calculate the prime factors of 26316 and 26320.

Prime Factorization of 26316


2 26316
2 13158
3 6579
3 2193
17 731
43 43
1

Prime factors of 26316 are 2, 3, 17,43. Prime factorization of 26316 in exponential form is:

26316 = 22×32×171×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 26316 and 26320.

LCM(26316,26320) = 24×32×51×71×171×431×471
LCM(26316,26320) = 173159280

Factors of 26316

List of positive integer factors of 26316 that divides 26316 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 43, 51, 68, 86, 102, 129, 153, 172, 204, 258, 306, 387, 516, 612, 731, 774, 1462, 1548, 2193, 2924, 4386, 6579, 8772, 13158, 26316

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

Least Common Multiple of 26316 and 26320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26316 and 26320, than apply into the LCM equation.

GCF(26316,26320) = 4
LCM(26316,26320) = ( 26316 × 26320) / 4
LCM(26316,26320) = 692637120 / 4
LCM(26316,26320) = 173159280

Properties of LCM 26316 and 26320

(i) The LCM of 26320 and 26316 is associative

LCM of 26316 and 26320 = LCM of 26320 and 26316

Related Least Common Multiples of 26316

Related Least Common Multiples of 26320

Frequently Asked Questions on LCM of 26316 and 26320

1. What is the LCM of 26316 and 26320?

Answer: LCM of 26316 and 26320 is 173159280.

2. What are the Factors of 26316?

Answer: Factors of 26316 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 43, 51, 68, 86, 102, 129, 153, 172, 204, 258, 306, 387, 516, 612, 731, 774, 1462, 1548, 2193, 2924, 4386, 6579, 8772, 13158, 26316. There are 36 integers that are factors of 26316. The greatest factor of 26316 is 26316.

3. 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.

4. How to Find the LCM of 26316 and 26320?

Answer:

Least Common Multiple of 26316 and 26320 = 173159280

Step 1: Find the prime factorization of 26316

26316 = 2 x 2 x 3 x 3 x 17 x 43

Step 2: Find the prime factorization of 26320

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

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

LCM = 173159280 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 17 x 43 x 47

Step 4: Therefore, the least common multiple of 26316 and 26320 is 173159280.