Least Common Multiple of 1126 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 1126 and 1133 the smallest integer that is 1275758 that is divisible by both numbers.

Least Common Multiple (LCM) of 1126 and 1133 is 1275758.

LCM(1126,1133) = 1275758

LCM of 1126 and 1133

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

LCM of:
and

Least Common Multiple of 1126 and 1133

LCM of 1126 and 1133 is 1275758

Least common multiple can be found by multiplying the highest exponent prime factors of 1126 and 1133. First we will calculate the prime factors of 1126 and 1133.

Prime Factorization of 1126


2 1126
563 563
1

Prime factors of 1126 are 2,563. Prime factorization of 1126 in exponential form is:

1126 = 21×5631

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 1126 and 1133.

LCM(1126,1133) = 21×111×1031×5631
LCM(1126,1133) = 1275758

Factors of 1126

List of positive integer factors of 1126 that divides 1126 without a remainder.

1, 2, 563, 1126

Factors of 1133

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

1, 11, 103, 1133

Least Common Multiple of 1126 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 1126 and 1133, than apply into the LCM equation.

GCF(1126,1133) = 1
LCM(1126,1133) = ( 1126 × 1133) / 1
LCM(1126,1133) = 1275758 / 1
LCM(1126,1133) = 1275758

Properties of LCM 1126 and 1133

(i) The LCM of 1133 and 1126 is associative

LCM of 1126 and 1133 = LCM of 1133 and 1126

Related Least Common Multiples of 1126

Related Least Common Multiples of 1133

Frequently Asked Questions on LCM of 1126 and 1133

1. What is the LCM of 1126 and 1133?

Answer: LCM of 1126 and 1133 is 1275758.

2. What are the Factors of 1126?

Answer: Factors of 1126 are 1, 2, 563, 1126. There are 4 integers that are factors of 1126. The greatest factor of 1126 is 1126.

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 1126 and 1133?

Answer:

Least Common Multiple of 1126 and 1133 = 1275758

Step 1: Find the prime factorization of 1126

1126 = 2 x 563

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 = 1275758 = 2 x 11 x 103 x 563

Step 4: Therefore, the least common multiple of 1126 and 1133 is 1275758.