Least Common Multiple of 1139 and 1143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1139 and 1143 the smallest integer that is 1301877 that is divisible by both numbers.

Least Common Multiple (LCM) of 1139 and 1143 is 1301877.

LCM(1139,1143) = 1301877

LCM of 1139 and 1143

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

LCM of:
and

Least Common Multiple of 1139 and 1143

LCM of 1139 and 1143 is 1301877

Least common multiple can be found by multiplying the highest exponent prime factors of 1139 and 1143. First we will calculate the prime factors of 1139 and 1143.

Prime Factorization of 1139


17 1139
67 67
1

Prime factors of 1139 are 17,67. Prime factorization of 1139 in exponential form is:

1139 = 171×671

Prime Factorization of 1143


3 1143
3 381
127 127
1

Prime factors of 1143 are 3,127. Prime factorization of 1143 in exponential form is:

1143 = 32×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 1139 and 1143.

LCM(1139,1143) = 32×171×671×1271
LCM(1139,1143) = 1301877

Factors of 1139

List of positive integer factors of 1139 that divides 1139 without a remainder.

1, 17, 67, 1139

Factors of 1143

List of positive integer factors of 1143 that divides 1143 without a remainder.

1, 3, 9, 127, 381, 1143

Least Common Multiple of 1139 and 1143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1139 and 1143, than apply into the LCM equation.

GCF(1139,1143) = 1
LCM(1139,1143) = ( 1139 × 1143) / 1
LCM(1139,1143) = 1301877 / 1
LCM(1139,1143) = 1301877

Properties of LCM 1139 and 1143

(i) The LCM of 1143 and 1139 is associative

LCM of 1139 and 1143 = LCM of 1143 and 1139

Related Least Common Multiples of 1139

Related Least Common Multiples of 1143

Frequently Asked Questions on LCM of 1139 and 1143

1. What is the LCM of 1139 and 1143?

Answer: LCM of 1139 and 1143 is 1301877.

2. What are the Factors of 1139?

Answer: Factors of 1139 are 1, 17, 67, 1139. There are 4 integers that are factors of 1139. The greatest factor of 1139 is 1139.

3. What are the Factors of 1143?

Answer: Factors of 1143 are 1, 3, 9, 127, 381, 1143. There are 6 integers that are factors of 1143. The greatest factor of 1143 is 1143.

4. How to Find the LCM of 1139 and 1143?

Answer:

Least Common Multiple of 1139 and 1143 = 1301877

Step 1: Find the prime factorization of 1139

1139 = 17 x 67

Step 2: Find the prime factorization of 1143

1143 = 3 x 3 x 127

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

LCM = 1301877 = 3 x 3 x 17 x 67 x 127

Step 4: Therefore, the least common multiple of 1139 and 1143 is 1301877.