Least Common Multiple of 1120 and 1127

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 1127 the smallest integer that is 180320 that is divisible by both numbers.

Least Common Multiple (LCM) of 1120 and 1127 is 180320.

LCM(1120,1127) = 180320

LCM of 1120 and 1127

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

LCM of:
and

Least Common Multiple of 1120 and 1127

LCM of 1120 and 1127 is 180320

Least common multiple can be found by multiplying the highest exponent prime factors of 1120 and 1127. First we will calculate the prime factors of 1120 and 1127.

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 1127


7 1127
7 161
23 23
1

Prime factors of 1127 are 7,23. Prime factorization of 1127 in exponential form is:

1127 = 72×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1120 and 1127.

LCM(1120,1127) = 25×51×72×231
LCM(1120,1127) = 180320

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 1127

List of positive integer factors of 1127 that divides 1127 without a remainder.

1, 7, 23, 49, 161, 1127

Least Common Multiple of 1120 and 1127 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 1127, than apply into the LCM equation.

GCF(1120,1127) = 7
LCM(1120,1127) = ( 1120 × 1127) / 7
LCM(1120,1127) = 1262240 / 7
LCM(1120,1127) = 180320

Properties of LCM 1120 and 1127

(i) The LCM of 1127 and 1120 is associative

LCM of 1120 and 1127 = LCM of 1127 and 1120

Related Least Common Multiples of 1120

Related Least Common Multiples of 1127

Frequently Asked Questions on LCM of 1120 and 1127

1. What is the LCM of 1120 and 1127?

Answer: LCM of 1120 and 1127 is 180320.

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 1127?

Answer: Factors of 1127 are 1, 7, 23, 49, 161, 1127. There are 6 integers that are factors of 1127. The greatest factor of 1127 is 1127.

4. How to Find the LCM of 1120 and 1127?

Answer:

Least Common Multiple of 1120 and 1127 = 180320

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 1127

1127 = 7 x 7 x 23

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

LCM = 180320 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 7 x 23

Step 4: Therefore, the least common multiple of 1120 and 1127 is 180320.