Least Common Multiple of 26313 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 26313 and 26320 the smallest integer that is 98936880 that is divisible by both numbers.

Least Common Multiple (LCM) of 26313 and 26320 is 98936880.

LCM(26313,26320) = 98936880

LCM of 26313 and 26320

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

LCM of:
and

Least Common Multiple of 26313 and 26320

LCM of 26313 and 26320 is 98936880

Least common multiple can be found by multiplying the highest exponent prime factors of 26313 and 26320. First we will calculate the prime factors of 26313 and 26320.

Prime Factorization of 26313


3 26313
7 8771
7 1253
179 179
1

Prime factors of 26313 are 3, 7,179. Prime factorization of 26313 in exponential form is:

26313 = 31×72×1791

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 26313 and 26320.

LCM(26313,26320) = 24×31×51×72×471×1791
LCM(26313,26320) = 98936880

Factors of 26313

List of positive integer factors of 26313 that divides 26313 without a remainder.

1, 3, 7, 21, 49, 147, 179, 537, 1253, 3759, 8771, 26313

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 26313 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 26313 and 26320, than apply into the LCM equation.

GCF(26313,26320) = 7
LCM(26313,26320) = ( 26313 × 26320) / 7
LCM(26313,26320) = 692558160 / 7
LCM(26313,26320) = 98936880

Properties of LCM 26313 and 26320

(i) The LCM of 26320 and 26313 is associative

LCM of 26313 and 26320 = LCM of 26320 and 26313

Related Least Common Multiples of 26313

Related Least Common Multiples of 26320

Frequently Asked Questions on LCM of 26313 and 26320

1. What is the LCM of 26313 and 26320?

Answer: LCM of 26313 and 26320 is 98936880.

2. What are the Factors of 26313?

Answer: Factors of 26313 are 1, 3, 7, 21, 49, 147, 179, 537, 1253, 3759, 8771, 26313. There are 12 integers that are factors of 26313. The greatest factor of 26313 is 26313.

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 26313 and 26320?

Answer:

Least Common Multiple of 26313 and 26320 = 98936880

Step 1: Find the prime factorization of 26313

26313 = 3 x 7 x 7 x 179

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 = 98936880 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 47 x 179

Step 4: Therefore, the least common multiple of 26313 and 26320 is 98936880.