Least Common Multiple of 11302 and 11303

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 11303 the smallest integer that is 127746506 that is divisible by both numbers.

Least Common Multiple (LCM) of 11302 and 11303 is 127746506.

LCM(11302,11303) = 127746506

LCM of 11302 and 11303

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

LCM of:
and

Least Common Multiple of 11302 and 11303

LCM of 11302 and 11303 is 127746506

Least common multiple can be found by multiplying the highest exponent prime factors of 11302 and 11303. First we will calculate the prime factors of 11302 and 11303.

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 11303


89 11303
127 127
1

Prime factors of 11303 are 89,127. Prime factorization of 11303 in exponential form is:

11303 = 891×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 11302 and 11303.

LCM(11302,11303) = 21×891×1271×56511
LCM(11302,11303) = 127746506

Factors of 11302

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

1, 2, 5651, 11302

Factors of 11303

List of positive integer factors of 11303 that divides 11303 without a remainder.

1, 89, 127, 11303

Least Common Multiple of 11302 and 11303 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 11303, than apply into the LCM equation.

GCF(11302,11303) = 1
LCM(11302,11303) = ( 11302 × 11303) / 1
LCM(11302,11303) = 127746506 / 1
LCM(11302,11303) = 127746506

Properties of LCM 11302 and 11303

(i) The LCM of 11303 and 11302 is associative

LCM of 11302 and 11303 = LCM of 11303 and 11302

Related Least Common Multiples of 11302

Related Least Common Multiples of 11303

Frequently Asked Questions on LCM of 11302 and 11303

1. What is the LCM of 11302 and 11303?

Answer: LCM of 11302 and 11303 is 127746506.

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 11303?

Answer: Factors of 11303 are 1, 89, 127, 11303. There are 4 integers that are factors of 11303. The greatest factor of 11303 is 11303.

4. How to Find the LCM of 11302 and 11303?

Answer:

Least Common Multiple of 11302 and 11303 = 127746506

Step 1: Find the prime factorization of 11302

11302 = 2 x 5651

Step 2: Find the prime factorization of 11303

11303 = 89 x 127

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

LCM = 127746506 = 2 x 89 x 127 x 5651

Step 4: Therefore, the least common multiple of 11302 and 11303 is 127746506.