Least Common Multiple of 1142 and 1148

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 1148 the smallest integer that is 655508 that is divisible by both numbers.

Least Common Multiple (LCM) of 1142 and 1148 is 655508.

LCM(1142,1148) = 655508

LCM of 1142 and 1148

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

LCM of:
and

Least Common Multiple of 1142 and 1148

LCM of 1142 and 1148 is 655508

Least common multiple can be found by multiplying the highest exponent prime factors of 1142 and 1148. First we will calculate the prime factors of 1142 and 1148.

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 1148


2 1148
2 574
7 287
41 41
1

Prime factors of 1148 are 2, 7,41. Prime factorization of 1148 in exponential form is:

1148 = 22×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 1142 and 1148.

LCM(1142,1148) = 22×71×411×5711
LCM(1142,1148) = 655508

Factors of 1142

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

1, 2, 571, 1142

Factors of 1148

List of positive integer factors of 1148 that divides 1148 without a remainder.

1, 2, 4, 7, 14, 28, 41, 82, 164, 287, 574, 1148

Least Common Multiple of 1142 and 1148 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 1148, than apply into the LCM equation.

GCF(1142,1148) = 2
LCM(1142,1148) = ( 1142 × 1148) / 2
LCM(1142,1148) = 1311016 / 2
LCM(1142,1148) = 655508

Properties of LCM 1142 and 1148

(i) The LCM of 1148 and 1142 is associative

LCM of 1142 and 1148 = LCM of 1148 and 1142

Related Least Common Multiples of 1142

Related Least Common Multiples of 1148

Frequently Asked Questions on LCM of 1142 and 1148

1. What is the LCM of 1142 and 1148?

Answer: LCM of 1142 and 1148 is 655508.

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 1148?

Answer: Factors of 1148 are 1, 2, 4, 7, 14, 28, 41, 82, 164, 287, 574, 1148. There are 12 integers that are factors of 1148. The greatest factor of 1148 is 1148.

4. How to Find the LCM of 1142 and 1148?

Answer:

Least Common Multiple of 1142 and 1148 = 655508

Step 1: Find the prime factorization of 1142

1142 = 2 x 571

Step 2: Find the prime factorization of 1148

1148 = 2 x 2 x 7 x 41

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

LCM = 655508 = 2 x 2 x 7 x 41 x 571

Step 4: Therefore, the least common multiple of 1142 and 1148 is 655508.