Least Common Multiple of 26299 and 26300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26299 and 26300 the smallest integer that is 691663700 that is divisible by both numbers.

Least Common Multiple (LCM) of 26299 and 26300 is 691663700.

LCM(26299,26300) = 691663700

LCM of 26299 and 26300

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

LCM of:
and

Least Common Multiple of 26299 and 26300

LCM of 26299 and 26300 is 691663700

Least common multiple can be found by multiplying the highest exponent prime factors of 26299 and 26300. First we will calculate the prime factors of 26299 and 26300.

Prime Factorization of 26299


7 26299
13 3757
17 289
17 17
1

Prime factors of 26299 are 7, 13,17. Prime factorization of 26299 in exponential form is:

26299 = 71×131×172

Prime Factorization of 26300


2 26300
2 13150
5 6575
5 1315
263 263
1

Prime factors of 26300 are 2, 5,263. Prime factorization of 26300 in exponential form is:

26300 = 22×52×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 26299 and 26300.

LCM(26299,26300) = 22×52×71×131×172×2631
LCM(26299,26300) = 691663700

Factors of 26299

List of positive integer factors of 26299 that divides 26299 without a remainder.

1, 7, 13, 17, 91, 119, 221, 289, 1547, 2023, 3757, 26299

Factors of 26300

List of positive integer factors of 26300 that divides 26300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 263, 526, 1052, 1315, 2630, 5260, 6575, 13150, 26300

Least Common Multiple of 26299 and 26300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26299 and 26300, than apply into the LCM equation.

GCF(26299,26300) = 1
LCM(26299,26300) = ( 26299 × 26300) / 1
LCM(26299,26300) = 691663700 / 1
LCM(26299,26300) = 691663700

Properties of LCM 26299 and 26300

(i) The LCM of 26300 and 26299 is associative

LCM of 26299 and 26300 = LCM of 26300 and 26299

Related Least Common Multiples of 26299

Related Least Common Multiples of 26300

Frequently Asked Questions on LCM of 26299 and 26300

1. What is the LCM of 26299 and 26300?

Answer: LCM of 26299 and 26300 is 691663700.

2. What are the Factors of 26299?

Answer: Factors of 26299 are 1, 7, 13, 17, 91, 119, 221, 289, 1547, 2023, 3757, 26299. There are 12 integers that are factors of 26299. The greatest factor of 26299 is 26299.

3. What are the Factors of 26300?

Answer: Factors of 26300 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 263, 526, 1052, 1315, 2630, 5260, 6575, 13150, 26300. There are 18 integers that are factors of 26300. The greatest factor of 26300 is 26300.

4. How to Find the LCM of 26299 and 26300?

Answer:

Least Common Multiple of 26299 and 26300 = 691663700

Step 1: Find the prime factorization of 26299

26299 = 7 x 13 x 17 x 17

Step 2: Find the prime factorization of 26300

26300 = 2 x 2 x 5 x 5 x 263

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

LCM = 691663700 = 2 x 2 x 5 x 5 x 7 x 13 x 17 x 17 x 263

Step 4: Therefore, the least common multiple of 26299 and 26300 is 691663700.