Least Common Multiple of 11309 and 11316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11309 and 11316 the smallest integer that is 127972644 that is divisible by both numbers.

Least Common Multiple (LCM) of 11309 and 11316 is 127972644.

LCM(11309,11316) = 127972644

LCM of 11309 and 11316

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

LCM of:
and

Least Common Multiple of 11309 and 11316

LCM of 11309 and 11316 is 127972644

Least common multiple can be found by multiplying the highest exponent prime factors of 11309 and 11316. First we will calculate the prime factors of 11309 and 11316.

Prime Factorization of 11309


43 11309
263 263
1

Prime factors of 11309 are 43,263. Prime factorization of 11309 in exponential form is:

11309 = 431×2631

Prime Factorization of 11316


2 11316
2 5658
3 2829
23 943
41 41
1

Prime factors of 11316 are 2, 3, 23,41. Prime factorization of 11316 in exponential form is:

11316 = 22×31×231×411

Now multiplying the highest exponent prime factors to calculate the LCM of 11309 and 11316.

LCM(11309,11316) = 22×31×231×411×431×2631
LCM(11309,11316) = 127972644

Factors of 11309

List of positive integer factors of 11309 that divides 11309 without a remainder.

1, 43, 263, 11309

Factors of 11316

List of positive integer factors of 11316 that divides 11316 without a remainder.

1, 2, 3, 4, 6, 12, 23, 41, 46, 69, 82, 92, 123, 138, 164, 246, 276, 492, 943, 1886, 2829, 3772, 5658, 11316

Least Common Multiple of 11309 and 11316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11309 and 11316, than apply into the LCM equation.

GCF(11309,11316) = 1
LCM(11309,11316) = ( 11309 × 11316) / 1
LCM(11309,11316) = 127972644 / 1
LCM(11309,11316) = 127972644

Properties of LCM 11309 and 11316

(i) The LCM of 11316 and 11309 is associative

LCM of 11309 and 11316 = LCM of 11316 and 11309

Related Least Common Multiples of 11309

Related Least Common Multiples of 11316

Frequently Asked Questions on LCM of 11309 and 11316

1. What is the LCM of 11309 and 11316?

Answer: LCM of 11309 and 11316 is 127972644.

2. What are the Factors of 11309?

Answer: Factors of 11309 are 1, 43, 263, 11309. There are 4 integers that are factors of 11309. The greatest factor of 11309 is 11309.

3. What are the Factors of 11316?

Answer: Factors of 11316 are 1, 2, 3, 4, 6, 12, 23, 41, 46, 69, 82, 92, 123, 138, 164, 246, 276, 492, 943, 1886, 2829, 3772, 5658, 11316. There are 24 integers that are factors of 11316. The greatest factor of 11316 is 11316.

4. How to Find the LCM of 11309 and 11316?

Answer:

Least Common Multiple of 11309 and 11316 = 127972644

Step 1: Find the prime factorization of 11309

11309 = 43 x 263

Step 2: Find the prime factorization of 11316

11316 = 2 x 2 x 3 x 23 x 41

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

LCM = 127972644 = 2 x 2 x 3 x 23 x 41 x 43 x 263

Step 4: Therefore, the least common multiple of 11309 and 11316 is 127972644.