Least Common Multiple of 1124 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 1124 and 1127 the smallest integer that is 1266748 that is divisible by both numbers.

Least Common Multiple (LCM) of 1124 and 1127 is 1266748.

LCM(1124,1127) = 1266748

LCM of 1124 and 1127

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

LCM of:
and

Least Common Multiple of 1124 and 1127

LCM of 1124 and 1127 is 1266748

Least common multiple can be found by multiplying the highest exponent prime factors of 1124 and 1127. First we will calculate the prime factors of 1124 and 1127.

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 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 1124 and 1127.

LCM(1124,1127) = 22×72×231×2811
LCM(1124,1127) = 1266748

Factors of 1124

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

1, 2, 4, 281, 562, 1124

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 1124 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 1124 and 1127, than apply into the LCM equation.

GCF(1124,1127) = 1
LCM(1124,1127) = ( 1124 × 1127) / 1
LCM(1124,1127) = 1266748 / 1
LCM(1124,1127) = 1266748

Properties of LCM 1124 and 1127

(i) The LCM of 1127 and 1124 is associative

LCM of 1124 and 1127 = LCM of 1127 and 1124

Related Least Common Multiples of 1124

Related Least Common Multiples of 1127

Frequently Asked Questions on LCM of 1124 and 1127

1. What is the LCM of 1124 and 1127?

Answer: LCM of 1124 and 1127 is 1266748.

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 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 1124 and 1127?

Answer:

Least Common Multiple of 1124 and 1127 = 1266748

Step 1: Find the prime factorization of 1124

1124 = 2 x 2 x 281

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 = 1266748 = 2 x 2 x 7 x 7 x 23 x 281

Step 4: Therefore, the least common multiple of 1124 and 1127 is 1266748.