Least Common Multiple of 1134 and 1136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1134 and 1136 the smallest integer that is 644112 that is divisible by both numbers.

Least Common Multiple (LCM) of 1134 and 1136 is 644112.

LCM(1134,1136) = 644112

LCM of 1134 and 1136

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

LCM of:
and

Least Common Multiple of 1134 and 1136

LCM of 1134 and 1136 is 644112

Least common multiple can be found by multiplying the highest exponent prime factors of 1134 and 1136. First we will calculate the prime factors of 1134 and 1136.

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

Prime Factorization of 1136


2 1136
2 568
2 284
2 142
71 71
1

Prime factors of 1136 are 2,71. Prime factorization of 1136 in exponential form is:

1136 = 24×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1134 and 1136.

LCM(1134,1136) = 24×34×71×711
LCM(1134,1136) = 644112

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

Factors of 1136

List of positive integer factors of 1136 that divides 1136 without a remainder.

1, 2, 4, 8, 16, 71, 142, 284, 568, 1136

Least Common Multiple of 1134 and 1136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1134 and 1136, than apply into the LCM equation.

GCF(1134,1136) = 2
LCM(1134,1136) = ( 1134 × 1136) / 2
LCM(1134,1136) = 1288224 / 2
LCM(1134,1136) = 644112

Properties of LCM 1134 and 1136

(i) The LCM of 1136 and 1134 is associative

LCM of 1134 and 1136 = LCM of 1136 and 1134

Related Least Common Multiples of 1134

Related Least Common Multiples of 1136

Frequently Asked Questions on LCM of 1134 and 1136

1. What is the LCM of 1134 and 1136?

Answer: LCM of 1134 and 1136 is 644112.

2. 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.

3. What are the Factors of 1136?

Answer: Factors of 1136 are 1, 2, 4, 8, 16, 71, 142, 284, 568, 1136. There are 10 integers that are factors of 1136. The greatest factor of 1136 is 1136.

4. How to Find the LCM of 1134 and 1136?

Answer:

Least Common Multiple of 1134 and 1136 = 644112

Step 1: Find the prime factorization of 1134

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

Step 2: Find the prime factorization of 1136

1136 = 2 x 2 x 2 x 2 x 71

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

LCM = 644112 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 71

Step 4: Therefore, the least common multiple of 1134 and 1136 is 644112.