Least Common Multiple of 1128 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 1128 and 1134 the smallest integer that is 213192 that is divisible by both numbers.

Least Common Multiple (LCM) of 1128 and 1134 is 213192.

LCM(1128,1134) = 213192

LCM of 1128 and 1134

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

LCM of:
and

Least Common Multiple of 1128 and 1134

LCM of 1128 and 1134 is 213192

Least common multiple can be found by multiplying the highest exponent prime factors of 1128 and 1134. First we will calculate the prime factors of 1128 and 1134.

Prime Factorization of 1128


2 1128
2 564
2 282
3 141
47 47
1

Prime factors of 1128 are 2, 3,47. Prime factorization of 1128 in exponential form is:

1128 = 23×31×471

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 1128 and 1134.

LCM(1128,1134) = 23×34×71×471
LCM(1128,1134) = 213192

Factors of 1128

List of positive integer factors of 1128 that divides 1128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128

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 1128 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 1128 and 1134, than apply into the LCM equation.

GCF(1128,1134) = 6
LCM(1128,1134) = ( 1128 × 1134) / 6
LCM(1128,1134) = 1279152 / 6
LCM(1128,1134) = 213192

Properties of LCM 1128 and 1134

(i) The LCM of 1134 and 1128 is associative

LCM of 1128 and 1134 = LCM of 1134 and 1128

Related Least Common Multiples of 1128

Related Least Common Multiples of 1134

Frequently Asked Questions on LCM of 1128 and 1134

1. What is the LCM of 1128 and 1134?

Answer: LCM of 1128 and 1134 is 213192.

2. What are the Factors of 1128?

Answer: Factors of 1128 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128. There are 16 integers that are factors of 1128. The greatest factor of 1128 is 1128.

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 1128 and 1134?

Answer:

Least Common Multiple of 1128 and 1134 = 213192

Step 1: Find the prime factorization of 1128

1128 = 2 x 2 x 2 x 3 x 47

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 = 213192 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 47

Step 4: Therefore, the least common multiple of 1128 and 1134 is 213192.