Least Common Multiple of 1142 and 1149

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 1149 the smallest integer that is 1312158 that is divisible by both numbers.

Least Common Multiple (LCM) of 1142 and 1149 is 1312158.

LCM(1142,1149) = 1312158

LCM of 1142 and 1149

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

LCM of:
and

Least Common Multiple of 1142 and 1149

LCM of 1142 and 1149 is 1312158

Least common multiple can be found by multiplying the highest exponent prime factors of 1142 and 1149. First we will calculate the prime factors of 1142 and 1149.

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 1149


3 1149
383 383
1

Prime factors of 1149 are 3,383. Prime factorization of 1149 in exponential form is:

1149 = 31×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 1142 and 1149.

LCM(1142,1149) = 21×31×3831×5711
LCM(1142,1149) = 1312158

Factors of 1142

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

1, 2, 571, 1142

Factors of 1149

List of positive integer factors of 1149 that divides 1149 without a remainder.

1, 3, 383, 1149

Least Common Multiple of 1142 and 1149 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 1149, than apply into the LCM equation.

GCF(1142,1149) = 1
LCM(1142,1149) = ( 1142 × 1149) / 1
LCM(1142,1149) = 1312158 / 1
LCM(1142,1149) = 1312158

Properties of LCM 1142 and 1149

(i) The LCM of 1149 and 1142 is associative

LCM of 1142 and 1149 = LCM of 1149 and 1142

Frequently Asked Questions on LCM of 1142 and 1149

1. What is the LCM of 1142 and 1149?

Answer: LCM of 1142 and 1149 is 1312158.

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 1149?

Answer: Factors of 1149 are 1, 3, 383, 1149. There are 4 integers that are factors of 1149. The greatest factor of 1149 is 1149.

4. How to Find the LCM of 1142 and 1149?

Answer:

Least Common Multiple of 1142 and 1149 = 1312158

Step 1: Find the prime factorization of 1142

1142 = 2 x 571

Step 2: Find the prime factorization of 1149

1149 = 3 x 383

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

LCM = 1312158 = 2 x 3 x 383 x 571

Step 4: Therefore, the least common multiple of 1142 and 1149 is 1312158.