Least Common Multiple of 1120 and 1126

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 1126 the smallest integer that is 630560 that is divisible by both numbers.

Least Common Multiple (LCM) of 1120 and 1126 is 630560.

LCM(1120,1126) = 630560

LCM of 1120 and 1126

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

LCM of:
and

Least Common Multiple of 1120 and 1126

LCM of 1120 and 1126 is 630560

Least common multiple can be found by multiplying the highest exponent prime factors of 1120 and 1126. First we will calculate the prime factors of 1120 and 1126.

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 1126


2 1126
563 563
1

Prime factors of 1126 are 2,563. Prime factorization of 1126 in exponential form is:

1126 = 21×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 1120 and 1126.

LCM(1120,1126) = 25×51×71×5631
LCM(1120,1126) = 630560

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 1126

List of positive integer factors of 1126 that divides 1126 without a remainder.

1, 2, 563, 1126

Least Common Multiple of 1120 and 1126 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 1126, than apply into the LCM equation.

GCF(1120,1126) = 2
LCM(1120,1126) = ( 1120 × 1126) / 2
LCM(1120,1126) = 1261120 / 2
LCM(1120,1126) = 630560

Properties of LCM 1120 and 1126

(i) The LCM of 1126 and 1120 is associative

LCM of 1120 and 1126 = LCM of 1126 and 1120

Related Least Common Multiples of 1120

Related Least Common Multiples of 1126

Frequently Asked Questions on LCM of 1120 and 1126

1. What is the LCM of 1120 and 1126?

Answer: LCM of 1120 and 1126 is 630560.

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 1126?

Answer: Factors of 1126 are 1, 2, 563, 1126. There are 4 integers that are factors of 1126. The greatest factor of 1126 is 1126.

4. How to Find the LCM of 1120 and 1126?

Answer:

Least Common Multiple of 1120 and 1126 = 630560

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 1126

1126 = 2 x 563

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

LCM = 630560 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 563

Step 4: Therefore, the least common multiple of 1120 and 1126 is 630560.