Least Common Multiple of 11300 and 11308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11300 and 11308 the smallest integer that is 31945100 that is divisible by both numbers.

Least Common Multiple (LCM) of 11300 and 11308 is 31945100.

LCM(11300,11308) = 31945100

LCM of 11300 and 11308

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

LCM of:
and

Least Common Multiple of 11300 and 11308

LCM of 11300 and 11308 is 31945100

Least common multiple can be found by multiplying the highest exponent prime factors of 11300 and 11308. First we will calculate the prime factors of 11300 and 11308.

Prime Factorization of 11300


2 11300
2 5650
5 2825
5 565
113 113
1

Prime factors of 11300 are 2, 5,113. Prime factorization of 11300 in exponential form is:

11300 = 22×52×1131

Prime Factorization of 11308


2 11308
2 5654
11 2827
257 257
1

Prime factors of 11308 are 2, 11,257. Prime factorization of 11308 in exponential form is:

11308 = 22×111×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 11300 and 11308.

LCM(11300,11308) = 22×52×111×1131×2571
LCM(11300,11308) = 31945100

Factors of 11300

List of positive integer factors of 11300 that divides 11300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 113, 226, 452, 565, 1130, 2260, 2825, 5650, 11300

Factors of 11308

List of positive integer factors of 11308 that divides 11308 without a remainder.

1, 2, 4, 11, 22, 44, 257, 514, 1028, 2827, 5654, 11308

Least Common Multiple of 11300 and 11308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11300 and 11308, than apply into the LCM equation.

GCF(11300,11308) = 4
LCM(11300,11308) = ( 11300 × 11308) / 4
LCM(11300,11308) = 127780400 / 4
LCM(11300,11308) = 31945100

Properties of LCM 11300 and 11308

(i) The LCM of 11308 and 11300 is associative

LCM of 11300 and 11308 = LCM of 11308 and 11300

Related Least Common Multiples of 11300

Related Least Common Multiples of 11308

Frequently Asked Questions on LCM of 11300 and 11308

1. What is the LCM of 11300 and 11308?

Answer: LCM of 11300 and 11308 is 31945100.

2. What are the Factors of 11300?

Answer: Factors of 11300 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 113, 226, 452, 565, 1130, 2260, 2825, 5650, 11300. There are 18 integers that are factors of 11300. The greatest factor of 11300 is 11300.

3. What are the Factors of 11308?

Answer: Factors of 11308 are 1, 2, 4, 11, 22, 44, 257, 514, 1028, 2827, 5654, 11308. There are 12 integers that are factors of 11308. The greatest factor of 11308 is 11308.

4. How to Find the LCM of 11300 and 11308?

Answer:

Least Common Multiple of 11300 and 11308 = 31945100

Step 1: Find the prime factorization of 11300

11300 = 2 x 2 x 5 x 5 x 113

Step 2: Find the prime factorization of 11308

11308 = 2 x 2 x 11 x 257

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

LCM = 31945100 = 2 x 2 x 5 x 5 x 11 x 113 x 257

Step 4: Therefore, the least common multiple of 11300 and 11308 is 31945100.