Least Common Multiple of 1124 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 1124 and 1130 the smallest integer that is 635060 that is divisible by both numbers.

Least Common Multiple (LCM) of 1124 and 1130 is 635060.

LCM(1124,1130) = 635060

LCM of 1124 and 1130

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

LCM of:
and

Least Common Multiple of 1124 and 1130

LCM of 1124 and 1130 is 635060

Least common multiple can be found by multiplying the highest exponent prime factors of 1124 and 1130. First we will calculate the prime factors of 1124 and 1130.

Prime Factorization of 1124


2 1124
2 562
281 281
1

Prime factors of 1124 are 2,281. Prime factorization of 1124 in exponential form is:

1124 = 22×2811

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 1124 and 1130.

LCM(1124,1130) = 22×51×1131×2811
LCM(1124,1130) = 635060

Factors of 1124

List of positive integer factors of 1124 that divides 1124 without a remainder.

1, 2, 4, 281, 562, 1124

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 1124 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 1124 and 1130, than apply into the LCM equation.

GCF(1124,1130) = 2
LCM(1124,1130) = ( 1124 × 1130) / 2
LCM(1124,1130) = 1270120 / 2
LCM(1124,1130) = 635060

Properties of LCM 1124 and 1130

(i) The LCM of 1130 and 1124 is associative

LCM of 1124 and 1130 = LCM of 1130 and 1124

Related Least Common Multiples of 1124

Related Least Common Multiples of 1130

Frequently Asked Questions on LCM of 1124 and 1130

1. What is the LCM of 1124 and 1130?

Answer: LCM of 1124 and 1130 is 635060.

2. What are the Factors of 1124?

Answer: Factors of 1124 are 1, 2, 4, 281, 562, 1124. There are 6 integers that are factors of 1124. The greatest factor of 1124 is 1124.

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 1124 and 1130?

Answer:

Least Common Multiple of 1124 and 1130 = 635060

Step 1: Find the prime factorization of 1124

1124 = 2 x 2 x 281

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 = 635060 = 2 x 2 x 5 x 113 x 281

Step 4: Therefore, the least common multiple of 1124 and 1130 is 635060.