Least Common Multiple of 1125 and 1130

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 1130 the smallest integer that is 254250 that is divisible by both numbers.

Least Common Multiple (LCM) of 1125 and 1130 is 254250.

LCM(1125,1130) = 254250

LCM of 1125 and 1130

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

LCM of:
and

Least Common Multiple of 1125 and 1130

LCM of 1125 and 1130 is 254250

Least common multiple can be found by multiplying the highest exponent prime factors of 1125 and 1130. First we will calculate the prime factors of 1125 and 1130.

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 1130


2 1130
5 565
113 113
1

Prime factors of 1130 are 2, 5,113. Prime factorization of 1130 in exponential form is:

1130 = 21×51×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 1125 and 1130.

LCM(1125,1130) = 21×32×53×1131
LCM(1125,1130) = 254250

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 1130

List of positive integer factors of 1130 that divides 1130 without a remainder.

1, 2, 5, 10, 113, 226, 565, 1130

Least Common Multiple of 1125 and 1130 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 1130, than apply into the LCM equation.

GCF(1125,1130) = 5
LCM(1125,1130) = ( 1125 × 1130) / 5
LCM(1125,1130) = 1271250 / 5
LCM(1125,1130) = 254250

Properties of LCM 1125 and 1130

(i) The LCM of 1130 and 1125 is associative

LCM of 1125 and 1130 = LCM of 1130 and 1125

Related Least Common Multiples of 1125

Related Least Common Multiples of 1130

Frequently Asked Questions on LCM of 1125 and 1130

1. What is the LCM of 1125 and 1130?

Answer: LCM of 1125 and 1130 is 254250.

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 1130?

Answer: Factors of 1130 are 1, 2, 5, 10, 113, 226, 565, 1130. There are 8 integers that are factors of 1130. The greatest factor of 1130 is 1130.

4. How to Find the LCM of 1125 and 1130?

Answer:

Least Common Multiple of 1125 and 1130 = 254250

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 1130

1130 = 2 x 5 x 113

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

LCM = 254250 = 2 x 3 x 3 x 5 x 5 x 5 x 113

Step 4: Therefore, the least common multiple of 1125 and 1130 is 254250.