Least Common Multiple of 1125 and 1131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1125 and 1131 the smallest integer that is 424125 that is divisible by both numbers.

Least Common Multiple (LCM) of 1125 and 1131 is 424125.

LCM(1125,1131) = 424125

LCM of 1125 and 1131

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

LCM of:
and

Least Common Multiple of 1125 and 1131

LCM of 1125 and 1131 is 424125

Least common multiple can be found by multiplying the highest exponent prime factors of 1125 and 1131. First we will calculate the prime factors of 1125 and 1131.

Prime Factorization of 1125


3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 1125 are 3,5. Prime factorization of 1125 in exponential form is:

1125 = 32×53

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1125 and 1131.

LCM(1125,1131) = 32×53×131×291
LCM(1125,1131) = 424125

Factors of 1125

List of positive integer factors of 1125 that divides 1125 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125

Factors of 1131

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

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

Least Common Multiple of 1125 and 1131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1125 and 1131, than apply into the LCM equation.

GCF(1125,1131) = 3
LCM(1125,1131) = ( 1125 × 1131) / 3
LCM(1125,1131) = 1272375 / 3
LCM(1125,1131) = 424125

Properties of LCM 1125 and 1131

(i) The LCM of 1131 and 1125 is associative

LCM of 1125 and 1131 = LCM of 1131 and 1125

Related Least Common Multiples of 1125

Related Least Common Multiples of 1131

Frequently Asked Questions on LCM of 1125 and 1131

1. What is the LCM of 1125 and 1131?

Answer: LCM of 1125 and 1131 is 424125.

2. What are the Factors of 1125?

Answer: Factors of 1125 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125. There are 12 integers that are factors of 1125. The greatest factor of 1125 is 1125.

3. 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.

4. How to Find the LCM of 1125 and 1131?

Answer:

Least Common Multiple of 1125 and 1131 = 424125

Step 1: Find the prime factorization of 1125

1125 = 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 1131

1131 = 3 x 13 x 29

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

LCM = 424125 = 3 x 3 x 5 x 5 x 5 x 13 x 29

Step 4: Therefore, the least common multiple of 1125 and 1131 is 424125.