Least Common Multiple of 1120 and 1125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1120 and 1125 the smallest integer that is 252000 that is divisible by both numbers.

Least Common Multiple (LCM) of 1120 and 1125 is 252000.

LCM(1120,1125) = 252000

LCM of 1120 and 1125

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

LCM of:
and

Least Common Multiple of 1120 and 1125

LCM of 1120 and 1125 is 252000

Least common multiple can be found by multiplying the highest exponent prime factors of 1120 and 1125. First we will calculate the prime factors of 1120 and 1125.

Prime Factorization of 1120


2 1120
2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 1120 are 2, 5,7. Prime factorization of 1120 in exponential form is:

1120 = 25×51×71

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1120 and 1125.

LCM(1120,1125) = 25×32×53×71
LCM(1120,1125) = 252000

Factors of 1120

List of positive integer factors of 1120 that divides 1120 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120

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

Least Common Multiple of 1120 and 1125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1120 and 1125, than apply into the LCM equation.

GCF(1120,1125) = 5
LCM(1120,1125) = ( 1120 × 1125) / 5
LCM(1120,1125) = 1260000 / 5
LCM(1120,1125) = 252000

Properties of LCM 1120 and 1125

(i) The LCM of 1125 and 1120 is associative

LCM of 1120 and 1125 = LCM of 1125 and 1120

Related Least Common Multiples of 1120

Related Least Common Multiples of 1125

Frequently Asked Questions on LCM of 1120 and 1125

1. What is the LCM of 1120 and 1125?

Answer: LCM of 1120 and 1125 is 252000.

2. What are the Factors of 1120?

Answer: Factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120. There are 24 integers that are factors of 1120. The greatest factor of 1120 is 1120.

3. 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.

4. How to Find the LCM of 1120 and 1125?

Answer:

Least Common Multiple of 1120 and 1125 = 252000

Step 1: Find the prime factorization of 1120

1120 = 2 x 2 x 2 x 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 1125

1125 = 3 x 3 x 5 x 5 x 5

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

LCM = 252000 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7

Step 4: Therefore, the least common multiple of 1120 and 1125 is 252000.