Least Common Multiple of 1125 and 1132

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 1132 the smallest integer that is 1273500 that is divisible by both numbers.

Least Common Multiple (LCM) of 1125 and 1132 is 1273500.

LCM(1125,1132) = 1273500

LCM of 1125 and 1132

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

LCM of:
and

Least Common Multiple of 1125 and 1132

LCM of 1125 and 1132 is 1273500

Least common multiple can be found by multiplying the highest exponent prime factors of 1125 and 1132. First we will calculate the prime factors of 1125 and 1132.

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 1132


2 1132
2 566
283 283
1

Prime factors of 1132 are 2,283. Prime factorization of 1132 in exponential form is:

1132 = 22×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 1125 and 1132.

LCM(1125,1132) = 22×32×53×2831
LCM(1125,1132) = 1273500

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 1132

List of positive integer factors of 1132 that divides 1132 without a remainder.

1, 2, 4, 283, 566, 1132

Least Common Multiple of 1125 and 1132 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 1132, than apply into the LCM equation.

GCF(1125,1132) = 1
LCM(1125,1132) = ( 1125 × 1132) / 1
LCM(1125,1132) = 1273500 / 1
LCM(1125,1132) = 1273500

Properties of LCM 1125 and 1132

(i) The LCM of 1132 and 1125 is associative

LCM of 1125 and 1132 = LCM of 1132 and 1125

Related Least Common Multiples of 1125

Related Least Common Multiples of 1132

Frequently Asked Questions on LCM of 1125 and 1132

1. What is the LCM of 1125 and 1132?

Answer: LCM of 1125 and 1132 is 1273500.

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 1132?

Answer: Factors of 1132 are 1, 2, 4, 283, 566, 1132. There are 6 integers that are factors of 1132. The greatest factor of 1132 is 1132.

4. How to Find the LCM of 1125 and 1132?

Answer:

Least Common Multiple of 1125 and 1132 = 1273500

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 1132

1132 = 2 x 2 x 283

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

LCM = 1273500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 283

Step 4: Therefore, the least common multiple of 1125 and 1132 is 1273500.