Least Common Multiple of 1128 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 1128 and 1133 the smallest integer that is 1278024 that is divisible by both numbers.

Least Common Multiple (LCM) of 1128 and 1133 is 1278024.

LCM(1128,1133) = 1278024

LCM of 1128 and 1133

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

LCM of:
and

Least Common Multiple of 1128 and 1133

LCM of 1128 and 1133 is 1278024

Least common multiple can be found by multiplying the highest exponent prime factors of 1128 and 1133. First we will calculate the prime factors of 1128 and 1133.

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 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 1128 and 1133.

LCM(1128,1133) = 23×31×111×471×1031
LCM(1128,1133) = 1278024

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 1133

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

1, 11, 103, 1133

Least Common Multiple of 1128 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 1128 and 1133, than apply into the LCM equation.

GCF(1128,1133) = 1
LCM(1128,1133) = ( 1128 × 1133) / 1
LCM(1128,1133) = 1278024 / 1
LCM(1128,1133) = 1278024

Properties of LCM 1128 and 1133

(i) The LCM of 1133 and 1128 is associative

LCM of 1128 and 1133 = LCM of 1133 and 1128

Related Least Common Multiples of 1128

Related Least Common Multiples of 1133

Frequently Asked Questions on LCM of 1128 and 1133

1. What is the LCM of 1128 and 1133?

Answer: LCM of 1128 and 1133 is 1278024.

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 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 1128 and 1133?

Answer:

Least Common Multiple of 1128 and 1133 = 1278024

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 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 = 1278024 = 2 x 2 x 2 x 3 x 11 x 47 x 103

Step 4: Therefore, the least common multiple of 1128 and 1133 is 1278024.