Least Common Multiple of 11301 and 11302

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 11302 the smallest integer that is 127723902 that is divisible by both numbers.

Least Common Multiple (LCM) of 11301 and 11302 is 127723902.

LCM(11301,11302) = 127723902

LCM of 11301 and 11302

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

LCM of:
and

Least Common Multiple of 11301 and 11302

LCM of 11301 and 11302 is 127723902

Least common multiple can be found by multiplying the highest exponent prime factors of 11301 and 11302. First we will calculate the prime factors of 11301 and 11302.

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 11302


2 11302
5651 5651
1

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

11302 = 21×56511

Now multiplying the highest exponent prime factors to calculate the LCM of 11301 and 11302.

LCM(11301,11302) = 21×31×37671×56511
LCM(11301,11302) = 127723902

Factors of 11301

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

1, 3, 3767, 11301

Factors of 11302

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

1, 2, 5651, 11302

Least Common Multiple of 11301 and 11302 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 11302, than apply into the LCM equation.

GCF(11301,11302) = 1
LCM(11301,11302) = ( 11301 × 11302) / 1
LCM(11301,11302) = 127723902 / 1
LCM(11301,11302) = 127723902

Properties of LCM 11301 and 11302

(i) The LCM of 11302 and 11301 is associative

LCM of 11301 and 11302 = LCM of 11302 and 11301

Related Least Common Multiples of 11301

Related Least Common Multiples of 11302

Frequently Asked Questions on LCM of 11301 and 11302

1. What is the LCM of 11301 and 11302?

Answer: LCM of 11301 and 11302 is 127723902.

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 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.

4. How to Find the LCM of 11301 and 11302?

Answer:

Least Common Multiple of 11301 and 11302 = 127723902

Step 1: Find the prime factorization of 11301

11301 = 3 x 3767

Step 2: Find the prime factorization of 11302

11302 = 2 x 5651

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

LCM = 127723902 = 2 x 3 x 3767 x 5651

Step 4: Therefore, the least common multiple of 11301 and 11302 is 127723902.