Least Common Multiple of 1141 and 1147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1141 and 1147 the smallest integer that is 1308727 that is divisible by both numbers.

Least Common Multiple (LCM) of 1141 and 1147 is 1308727.

LCM(1141,1147) = 1308727

LCM of 1141 and 1147

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

LCM of:
and

Least Common Multiple of 1141 and 1147

LCM of 1141 and 1147 is 1308727

Least common multiple can be found by multiplying the highest exponent prime factors of 1141 and 1147. First we will calculate the prime factors of 1141 and 1147.

Prime Factorization of 1141


7 1141
163 163
1

Prime factors of 1141 are 7,163. Prime factorization of 1141 in exponential form is:

1141 = 71×1631

Prime Factorization of 1147


31 1147
37 37
1

Prime factors of 1147 are 31,37. Prime factorization of 1147 in exponential form is:

1147 = 311×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1141 and 1147.

LCM(1141,1147) = 71×311×371×1631
LCM(1141,1147) = 1308727

Factors of 1141

List of positive integer factors of 1141 that divides 1141 without a remainder.

1, 7, 163, 1141

Factors of 1147

List of positive integer factors of 1147 that divides 1147 without a remainder.

1, 31, 37, 1147

Least Common Multiple of 1141 and 1147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1141 and 1147, than apply into the LCM equation.

GCF(1141,1147) = 1
LCM(1141,1147) = ( 1141 × 1147) / 1
LCM(1141,1147) = 1308727 / 1
LCM(1141,1147) = 1308727

Properties of LCM 1141 and 1147

(i) The LCM of 1147 and 1141 is associative

LCM of 1141 and 1147 = LCM of 1147 and 1141

Related Least Common Multiples of 1141

Related Least Common Multiples of 1147

Frequently Asked Questions on LCM of 1141 and 1147

1. What is the LCM of 1141 and 1147?

Answer: LCM of 1141 and 1147 is 1308727.

2. What are the Factors of 1141?

Answer: Factors of 1141 are 1, 7, 163, 1141. There are 4 integers that are factors of 1141. The greatest factor of 1141 is 1141.

3. What are the Factors of 1147?

Answer: Factors of 1147 are 1, 31, 37, 1147. There are 4 integers that are factors of 1147. The greatest factor of 1147 is 1147.

4. How to Find the LCM of 1141 and 1147?

Answer:

Least Common Multiple of 1141 and 1147 = 1308727

Step 1: Find the prime factorization of 1141

1141 = 7 x 163

Step 2: Find the prime factorization of 1147

1147 = 31 x 37

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

LCM = 1308727 = 7 x 31 x 37 x 163

Step 4: Therefore, the least common multiple of 1141 and 1147 is 1308727.