Least Common Multiple of 11302 and 11309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11302 and 11309 the smallest integer that is 127814318 that is divisible by both numbers.

Least Common Multiple (LCM) of 11302 and 11309 is 127814318.

LCM(11302,11309) = 127814318

LCM of 11302 and 11309

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

LCM of:
and

Least Common Multiple of 11302 and 11309

LCM of 11302 and 11309 is 127814318

Least common multiple can be found by multiplying the highest exponent prime factors of 11302 and 11309. First we will calculate the prime factors of 11302 and 11309.

Prime Factorization of 11302


2 11302
5651 5651
1

Prime factors of 11302 are 2,5651. Prime factorization of 11302 in exponential form is:

11302 = 21×56511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 11302 and 11309.

LCM(11302,11309) = 21×431×2631×56511
LCM(11302,11309) = 127814318

Factors of 11302

List of positive integer factors of 11302 that divides 11302 without a remainder.

1, 2, 5651, 11302

Factors of 11309

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

1, 43, 263, 11309

Least Common Multiple of 11302 and 11309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11302 and 11309, than apply into the LCM equation.

GCF(11302,11309) = 1
LCM(11302,11309) = ( 11302 × 11309) / 1
LCM(11302,11309) = 127814318 / 1
LCM(11302,11309) = 127814318

Properties of LCM 11302 and 11309

(i) The LCM of 11309 and 11302 is associative

LCM of 11302 and 11309 = LCM of 11309 and 11302

Related Least Common Multiples of 11302

Related Least Common Multiples of 11309

Frequently Asked Questions on LCM of 11302 and 11309

1. What is the LCM of 11302 and 11309?

Answer: LCM of 11302 and 11309 is 127814318.

2. What are the Factors of 11302?

Answer: Factors of 11302 are 1, 2, 5651, 11302. There are 4 integers that are factors of 11302. The greatest factor of 11302 is 11302.

3. 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.

4. How to Find the LCM of 11302 and 11309?

Answer:

Least Common Multiple of 11302 and 11309 = 127814318

Step 1: Find the prime factorization of 11302

11302 = 2 x 5651

Step 2: Find the prime factorization of 11309

11309 = 43 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 = 127814318 = 2 x 43 x 263 x 5651

Step 4: Therefore, the least common multiple of 11302 and 11309 is 127814318.