Least Common Multiple of 11301 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 11301 and 11308 the smallest integer that is 127791708 that is divisible by both numbers.

Least Common Multiple (LCM) of 11301 and 11308 is 127791708.

LCM(11301,11308) = 127791708

LCM of 11301 and 11308

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

LCM of:
and

Least Common Multiple of 11301 and 11308

LCM of 11301 and 11308 is 127791708

Least common multiple can be found by multiplying the highest exponent prime factors of 11301 and 11308. First we will calculate the prime factors of 11301 and 11308.

Prime Factorization of 11301


3 11301
3767 3767
1

Prime factors of 11301 are 3,3767. Prime factorization of 11301 in exponential form is:

11301 = 31×37671

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 11301 and 11308.

LCM(11301,11308) = 22×31×111×2571×37671
LCM(11301,11308) = 127791708

Factors of 11301

List of positive integer factors of 11301 that divides 11301 without a remainder.

1, 3, 3767, 11301

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 11301 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 11301 and 11308, than apply into the LCM equation.

GCF(11301,11308) = 1
LCM(11301,11308) = ( 11301 × 11308) / 1
LCM(11301,11308) = 127791708 / 1
LCM(11301,11308) = 127791708

Properties of LCM 11301 and 11308

(i) The LCM of 11308 and 11301 is associative

LCM of 11301 and 11308 = LCM of 11308 and 11301

Related Least Common Multiples of 11301

Related Least Common Multiples of 11308

Frequently Asked Questions on LCM of 11301 and 11308

1. What is the LCM of 11301 and 11308?

Answer: LCM of 11301 and 11308 is 127791708.

2. What are the Factors of 11301?

Answer: Factors of 11301 are 1, 3, 3767, 11301. There are 4 integers that are factors of 11301. The greatest factor of 11301 is 11301.

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 11301 and 11308?

Answer:

Least Common Multiple of 11301 and 11308 = 127791708

Step 1: Find the prime factorization of 11301

11301 = 3 x 3767

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 = 127791708 = 2 x 2 x 3 x 11 x 257 x 3767

Step 4: Therefore, the least common multiple of 11301 and 11308 is 127791708.