Least Common Multiple of 1126 and 1134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1126 and 1134 the smallest integer that is 638442 that is divisible by both numbers.

Least Common Multiple (LCM) of 1126 and 1134 is 638442.

LCM(1126,1134) = 638442

LCM of 1126 and 1134

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

LCM of:
and

Least Common Multiple of 1126 and 1134

LCM of 1126 and 1134 is 638442

Least common multiple can be found by multiplying the highest exponent prime factors of 1126 and 1134. First we will calculate the prime factors of 1126 and 1134.

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

Prime Factorization of 1134


2 1134
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 1134 are 2, 3,7. Prime factorization of 1134 in exponential form is:

1134 = 21×34×71

Now multiplying the highest exponent prime factors to calculate the LCM of 1126 and 1134.

LCM(1126,1134) = 21×34×71×5631
LCM(1126,1134) = 638442

Factors of 1126

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

1, 2, 563, 1126

Factors of 1134

List of positive integer factors of 1134 that divides 1134 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567, 1134

Least Common Multiple of 1126 and 1134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1126 and 1134, than apply into the LCM equation.

GCF(1126,1134) = 2
LCM(1126,1134) = ( 1126 × 1134) / 2
LCM(1126,1134) = 1276884 / 2
LCM(1126,1134) = 638442

Properties of LCM 1126 and 1134

(i) The LCM of 1134 and 1126 is associative

LCM of 1126 and 1134 = LCM of 1134 and 1126

Related Least Common Multiples of 1126

Related Least Common Multiples of 1134

Frequently Asked Questions on LCM of 1126 and 1134

1. What is the LCM of 1126 and 1134?

Answer: LCM of 1126 and 1134 is 638442.

2. 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.

3. What are the Factors of 1134?

Answer: Factors of 1134 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567, 1134. There are 20 integers that are factors of 1134. The greatest factor of 1134 is 1134.

4. How to Find the LCM of 1126 and 1134?

Answer:

Least Common Multiple of 1126 and 1134 = 638442

Step 1: Find the prime factorization of 1126

1126 = 2 x 563

Step 2: Find the prime factorization of 1134

1134 = 2 x 3 x 3 x 3 x 3 x 7

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

LCM = 638442 = 2 x 3 x 3 x 3 x 3 x 7 x 563

Step 4: Therefore, the least common multiple of 1126 and 1134 is 638442.