Least Common Multiple of 1134 and 1142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1134 and 1142 the smallest integer that is 647514 that is divisible by both numbers.

Least Common Multiple (LCM) of 1134 and 1142 is 647514.

LCM(1134,1142) = 647514

LCM of 1134 and 1142

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

LCM of:
and

Least Common Multiple of 1134 and 1142

LCM of 1134 and 1142 is 647514

Least common multiple can be found by multiplying the highest exponent prime factors of 1134 and 1142. First we will calculate the prime factors of 1134 and 1142.

Prime Factorization of 1134


2 1134
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 1134 are 2, 3,7. Prime factorization of 1134 in exponential form is:

1134 = 21×34×71

Prime Factorization of 1142


2 1142
571 571
1

Prime factors of 1142 are 2,571. Prime factorization of 1142 in exponential form is:

1142 = 21×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 1134 and 1142.

LCM(1134,1142) = 21×34×71×5711
LCM(1134,1142) = 647514

Factors of 1134

List of positive integer factors of 1134 that divides 1134 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567, 1134

Factors of 1142

List of positive integer factors of 1142 that divides 1142 without a remainder.

1, 2, 571, 1142

Least Common Multiple of 1134 and 1142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1134 and 1142, than apply into the LCM equation.

GCF(1134,1142) = 2
LCM(1134,1142) = ( 1134 × 1142) / 2
LCM(1134,1142) = 1295028 / 2
LCM(1134,1142) = 647514

Properties of LCM 1134 and 1142

(i) The LCM of 1142 and 1134 is associative

LCM of 1134 and 1142 = LCM of 1142 and 1134

Related Least Common Multiples of 1134

Related Least Common Multiples of 1142

Frequently Asked Questions on LCM of 1134 and 1142

1. What is the LCM of 1134 and 1142?

Answer: LCM of 1134 and 1142 is 647514.

2. What are the Factors of 1134?

Answer: Factors of 1134 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567, 1134. There are 20 integers that are factors of 1134. The greatest factor of 1134 is 1134.

3. What are the Factors of 1142?

Answer: Factors of 1142 are 1, 2, 571, 1142. There are 4 integers that are factors of 1142. The greatest factor of 1142 is 1142.

4. How to Find the LCM of 1134 and 1142?

Answer:

Least Common Multiple of 1134 and 1142 = 647514

Step 1: Find the prime factorization of 1134

1134 = 2 x 3 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 1142

1142 = 2 x 571

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

LCM = 647514 = 2 x 3 x 3 x 3 x 3 x 7 x 571

Step 4: Therefore, the least common multiple of 1134 and 1142 is 647514.