Least Common Multiple of 1128 and 1135

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 1135 the smallest integer that is 1280280 that is divisible by both numbers.

Least Common Multiple (LCM) of 1128 and 1135 is 1280280.

LCM(1128,1135) = 1280280

LCM of 1128 and 1135

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

LCM of:
and

Least Common Multiple of 1128 and 1135

LCM of 1128 and 1135 is 1280280

Least common multiple can be found by multiplying the highest exponent prime factors of 1128 and 1135. First we will calculate the prime factors of 1128 and 1135.

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 1135


5 1135
227 227
1

Prime factors of 1135 are 5,227. Prime factorization of 1135 in exponential form is:

1135 = 51×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 1128 and 1135.

LCM(1128,1135) = 23×31×51×471×2271
LCM(1128,1135) = 1280280

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 1135

List of positive integer factors of 1135 that divides 1135 without a remainder.

1, 5, 227, 1135

Least Common Multiple of 1128 and 1135 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 1135, than apply into the LCM equation.

GCF(1128,1135) = 1
LCM(1128,1135) = ( 1128 × 1135) / 1
LCM(1128,1135) = 1280280 / 1
LCM(1128,1135) = 1280280

Properties of LCM 1128 and 1135

(i) The LCM of 1135 and 1128 is associative

LCM of 1128 and 1135 = LCM of 1135 and 1128

Related Least Common Multiples of 1128

Related Least Common Multiples of 1135

Frequently Asked Questions on LCM of 1128 and 1135

1. What is the LCM of 1128 and 1135?

Answer: LCM of 1128 and 1135 is 1280280.

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 1135?

Answer: Factors of 1135 are 1, 5, 227, 1135. There are 4 integers that are factors of 1135. The greatest factor of 1135 is 1135.

4. How to Find the LCM of 1128 and 1135?

Answer:

Least Common Multiple of 1128 and 1135 = 1280280

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 1135

1135 = 5 x 227

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

LCM = 1280280 = 2 x 2 x 2 x 3 x 5 x 47 x 227

Step 4: Therefore, the least common multiple of 1128 and 1135 is 1280280.