Least Common Multiple of 1128 and 1132

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 1132 the smallest integer that is 319224 that is divisible by both numbers.

Least Common Multiple (LCM) of 1128 and 1132 is 319224.

LCM(1128,1132) = 319224

LCM of 1128 and 1132

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

LCM of:
and

Least Common Multiple of 1128 and 1132

LCM of 1128 and 1132 is 319224

Least common multiple can be found by multiplying the highest exponent prime factors of 1128 and 1132. First we will calculate the prime factors of 1128 and 1132.

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 1132


2 1132
2 566
283 283
1

Prime factors of 1132 are 2,283. Prime factorization of 1132 in exponential form is:

1132 = 22×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 1128 and 1132.

LCM(1128,1132) = 23×31×471×2831
LCM(1128,1132) = 319224

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 1132

List of positive integer factors of 1132 that divides 1132 without a remainder.

1, 2, 4, 283, 566, 1132

Least Common Multiple of 1128 and 1132 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 1132, than apply into the LCM equation.

GCF(1128,1132) = 4
LCM(1128,1132) = ( 1128 × 1132) / 4
LCM(1128,1132) = 1276896 / 4
LCM(1128,1132) = 319224

Properties of LCM 1128 and 1132

(i) The LCM of 1132 and 1128 is associative

LCM of 1128 and 1132 = LCM of 1132 and 1128

Related Least Common Multiples of 1128

Related Least Common Multiples of 1132

Frequently Asked Questions on LCM of 1128 and 1132

1. What is the LCM of 1128 and 1132?

Answer: LCM of 1128 and 1132 is 319224.

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 1132?

Answer: Factors of 1132 are 1, 2, 4, 283, 566, 1132. There are 6 integers that are factors of 1132. The greatest factor of 1132 is 1132.

4. How to Find the LCM of 1128 and 1132?

Answer:

Least Common Multiple of 1128 and 1132 = 319224

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 1132

1132 = 2 x 2 x 283

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

LCM = 319224 = 2 x 2 x 2 x 3 x 47 x 283

Step 4: Therefore, the least common multiple of 1128 and 1132 is 319224.