Least Common Multiple of 1129 and 1133

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 1133 the smallest integer that is 1279157 that is divisible by both numbers.

Least Common Multiple (LCM) of 1129 and 1133 is 1279157.

LCM(1129,1133) = 1279157

LCM of 1129 and 1133

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

LCM of:
and

Least Common Multiple of 1129 and 1133

LCM of 1129 and 1133 is 1279157

Least common multiple can be found by multiplying the highest exponent prime factors of 1129 and 1133. First we will calculate the prime factors of 1129 and 1133.

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 1133


11 1133
103 103
1

Prime factors of 1133 are 11,103. Prime factorization of 1133 in exponential form is:

1133 = 111×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 1129 and 1133.

LCM(1129,1133) = 111×1031×11291
LCM(1129,1133) = 1279157

Factors of 1129

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

1, 1129

Factors of 1133

List of positive integer factors of 1133 that divides 1133 without a remainder.

1, 11, 103, 1133

Least Common Multiple of 1129 and 1133 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 1133, than apply into the LCM equation.

GCF(1129,1133) = 1
LCM(1129,1133) = ( 1129 × 1133) / 1
LCM(1129,1133) = 1279157 / 1
LCM(1129,1133) = 1279157

Properties of LCM 1129 and 1133

(i) The LCM of 1133 and 1129 is associative

LCM of 1129 and 1133 = LCM of 1133 and 1129

Related Least Common Multiples of 1129

Related Least Common Multiples of 1133

Frequently Asked Questions on LCM of 1129 and 1133

1. What is the LCM of 1129 and 1133?

Answer: LCM of 1129 and 1133 is 1279157.

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 1133?

Answer: Factors of 1133 are 1, 11, 103, 1133. There are 4 integers that are factors of 1133. The greatest factor of 1133 is 1133.

4. How to Find the LCM of 1129 and 1133?

Answer:

Least Common Multiple of 1129 and 1133 = 1279157

Step 1: Find the prime factorization of 1129

1129 = 1129

Step 2: Find the prime factorization of 1133

1133 = 11 x 103

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

LCM = 1279157 = 11 x 103 x 1129

Step 4: Therefore, the least common multiple of 1129 and 1133 is 1279157.