Least Common Multiple of 1142 and 1146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1142 and 1146 the smallest integer that is 654366 that is divisible by both numbers.

Least Common Multiple (LCM) of 1142 and 1146 is 654366.

LCM(1142,1146) = 654366

LCM of 1142 and 1146

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

LCM of:
and

Least Common Multiple of 1142 and 1146

LCM of 1142 and 1146 is 654366

Least common multiple can be found by multiplying the highest exponent prime factors of 1142 and 1146. First we will calculate the prime factors of 1142 and 1146.

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

Prime Factorization of 1146


2 1146
3 573
191 191
1

Prime factors of 1146 are 2, 3,191. Prime factorization of 1146 in exponential form is:

1146 = 21×31×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 1142 and 1146.

LCM(1142,1146) = 21×31×1911×5711
LCM(1142,1146) = 654366

Factors of 1142

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

1, 2, 571, 1142

Factors of 1146

List of positive integer factors of 1146 that divides 1146 without a remainder.

1, 2, 3, 6, 191, 382, 573, 1146

Least Common Multiple of 1142 and 1146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1142 and 1146, than apply into the LCM equation.

GCF(1142,1146) = 2
LCM(1142,1146) = ( 1142 × 1146) / 2
LCM(1142,1146) = 1308732 / 2
LCM(1142,1146) = 654366

Properties of LCM 1142 and 1146

(i) The LCM of 1146 and 1142 is associative

LCM of 1142 and 1146 = LCM of 1146 and 1142

Related Least Common Multiples of 1142

Related Least Common Multiples of 1146

Frequently Asked Questions on LCM of 1142 and 1146

1. What is the LCM of 1142 and 1146?

Answer: LCM of 1142 and 1146 is 654366.

2. 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.

3. What are the Factors of 1146?

Answer: Factors of 1146 are 1, 2, 3, 6, 191, 382, 573, 1146. There are 8 integers that are factors of 1146. The greatest factor of 1146 is 1146.

4. How to Find the LCM of 1142 and 1146?

Answer:

Least Common Multiple of 1142 and 1146 = 654366

Step 1: Find the prime factorization of 1142

1142 = 2 x 571

Step 2: Find the prime factorization of 1146

1146 = 2 x 3 x 191

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

LCM = 654366 = 2 x 3 x 191 x 571

Step 4: Therefore, the least common multiple of 1142 and 1146 is 654366.