Least Common Multiple of 1131 and 1137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1131 and 1137 the smallest integer that is 428649 that is divisible by both numbers.

Least Common Multiple (LCM) of 1131 and 1137 is 428649.

LCM(1131,1137) = 428649

LCM of 1131 and 1137

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

LCM of:
and

Least Common Multiple of 1131 and 1137

LCM of 1131 and 1137 is 428649

Least common multiple can be found by multiplying the highest exponent prime factors of 1131 and 1137. First we will calculate the prime factors of 1131 and 1137.

Prime Factorization of 1131


3 1131
13 377
29 29
1

Prime factors of 1131 are 3, 13,29. Prime factorization of 1131 in exponential form is:

1131 = 31×131×291

Prime Factorization of 1137


3 1137
379 379
1

Prime factors of 1137 are 3,379. Prime factorization of 1137 in exponential form is:

1137 = 31×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 1131 and 1137.

LCM(1131,1137) = 31×131×291×3791
LCM(1131,1137) = 428649

Factors of 1131

List of positive integer factors of 1131 that divides 1131 without a remainder.

1, 3, 13, 29, 39, 87, 377, 1131

Factors of 1137

List of positive integer factors of 1137 that divides 1137 without a remainder.

1, 3, 379, 1137

Least Common Multiple of 1131 and 1137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1131 and 1137, than apply into the LCM equation.

GCF(1131,1137) = 3
LCM(1131,1137) = ( 1131 × 1137) / 3
LCM(1131,1137) = 1285947 / 3
LCM(1131,1137) = 428649

Properties of LCM 1131 and 1137

(i) The LCM of 1137 and 1131 is associative

LCM of 1131 and 1137 = LCM of 1137 and 1131

Related Least Common Multiples of 1131

Related Least Common Multiples of 1137

Frequently Asked Questions on LCM of 1131 and 1137

1. What is the LCM of 1131 and 1137?

Answer: LCM of 1131 and 1137 is 428649.

2. What are the Factors of 1131?

Answer: Factors of 1131 are 1, 3, 13, 29, 39, 87, 377, 1131. There are 8 integers that are factors of 1131. The greatest factor of 1131 is 1131.

3. What are the Factors of 1137?

Answer: Factors of 1137 are 1, 3, 379, 1137. There are 4 integers that are factors of 1137. The greatest factor of 1137 is 1137.

4. How to Find the LCM of 1131 and 1137?

Answer:

Least Common Multiple of 1131 and 1137 = 428649

Step 1: Find the prime factorization of 1131

1131 = 3 x 13 x 29

Step 2: Find the prime factorization of 1137

1137 = 3 x 379

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

LCM = 428649 = 3 x 13 x 29 x 379

Step 4: Therefore, the least common multiple of 1131 and 1137 is 428649.