Least Common Multiple of 26312 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 26312 and 26320 the smallest integer that is 86566480 that is divisible by both numbers.

Least Common Multiple (LCM) of 26312 and 26320 is 86566480.

LCM(26312,26320) = 86566480

LCM of 26312 and 26320

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

LCM of:
and

Least Common Multiple of 26312 and 26320

LCM of 26312 and 26320 is 86566480

Least common multiple can be found by multiplying the highest exponent prime factors of 26312 and 26320. First we will calculate the prime factors of 26312 and 26320.

Prime Factorization of 26312


2 26312
2 13156
2 6578
11 3289
13 299
23 23
1

Prime factors of 26312 are 2, 11, 13,23. Prime factorization of 26312 in exponential form is:

26312 = 23×111×131×231

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 26312 and 26320.

LCM(26312,26320) = 24×51×71×111×131×231×471
LCM(26312,26320) = 86566480

Factors of 26312

List of positive integer factors of 26312 that divides 26312 without a remainder.

1, 2, 4, 8, 11, 13, 22, 23, 26, 44, 46, 52, 88, 92, 104, 143, 184, 253, 286, 299, 506, 572, 598, 1012, 1144, 1196, 2024, 2392, 3289, 6578, 13156, 26312

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 26312 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 26312 and 26320, than apply into the LCM equation.

GCF(26312,26320) = 8
LCM(26312,26320) = ( 26312 × 26320) / 8
LCM(26312,26320) = 692531840 / 8
LCM(26312,26320) = 86566480

Properties of LCM 26312 and 26320

(i) The LCM of 26320 and 26312 is associative

LCM of 26312 and 26320 = LCM of 26320 and 26312

Related Least Common Multiples of 26312

Related Least Common Multiples of 26320

Frequently Asked Questions on LCM of 26312 and 26320

1. What is the LCM of 26312 and 26320?

Answer: LCM of 26312 and 26320 is 86566480.

2. What are the Factors of 26312?

Answer: Factors of 26312 are 1, 2, 4, 8, 11, 13, 22, 23, 26, 44, 46, 52, 88, 92, 104, 143, 184, 253, 286, 299, 506, 572, 598, 1012, 1144, 1196, 2024, 2392, 3289, 6578, 13156, 26312. There are 32 integers that are factors of 26312. The greatest factor of 26312 is 26312.

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 26312 and 26320?

Answer:

Least Common Multiple of 26312 and 26320 = 86566480

Step 1: Find the prime factorization of 26312

26312 = 2 x 2 x 2 x 11 x 13 x 23

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 = 86566480 = 2 x 2 x 2 x 2 x 5 x 7 x 11 x 13 x 23 x 47

Step 4: Therefore, the least common multiple of 26312 and 26320 is 86566480.