Least Common Multiple of 1129 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 1129 and 1135 the smallest integer that is 1281415 that is divisible by both numbers.

Least Common Multiple (LCM) of 1129 and 1135 is 1281415.

LCM(1129,1135) = 1281415

LCM of 1129 and 1135

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

LCM of:
and

Least Common Multiple of 1129 and 1135

LCM of 1129 and 1135 is 1281415

Least common multiple can be found by multiplying the highest exponent prime factors of 1129 and 1135. First we will calculate the prime factors of 1129 and 1135.

Prime Factorization of 1129


1129 1129
1

Prime factors of 1129 are 1129. Prime factorization of 1129 in exponential form is:

1129 = 11291

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 1129 and 1135.

LCM(1129,1135) = 51×2271×11291
LCM(1129,1135) = 1281415

Factors of 1129

List of positive integer factors of 1129 that divides 1129 without a remainder.

1, 1129

Factors of 1135

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

1, 5, 227, 1135

Least Common Multiple of 1129 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 1129 and 1135, than apply into the LCM equation.

GCF(1129,1135) = 1
LCM(1129,1135) = ( 1129 × 1135) / 1
LCM(1129,1135) = 1281415 / 1
LCM(1129,1135) = 1281415

Properties of LCM 1129 and 1135

(i) The LCM of 1135 and 1129 is associative

LCM of 1129 and 1135 = LCM of 1135 and 1129

Related Least Common Multiples of 1129

Related Least Common Multiples of 1135

Frequently Asked Questions on LCM of 1129 and 1135

1. What is the LCM of 1129 and 1135?

Answer: LCM of 1129 and 1135 is 1281415.

2. What are the Factors of 1129?

Answer: Factors of 1129 are 1, 1129. There are 2 integers that are factors of 1129. The greatest factor of 1129 is 1129.

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 1129 and 1135?

Answer:

Least Common Multiple of 1129 and 1135 = 1281415

Step 1: Find the prime factorization of 1129

1129 = 1129

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 = 1281415 = 5 x 227 x 1129

Step 4: Therefore, the least common multiple of 1129 and 1135 is 1281415.