Least Common Multiple of 7137 and 7143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7137 and 7143 the smallest integer that is 16993197 that is divisible by both numbers.

Least Common Multiple (LCM) of 7137 and 7143 is 16993197.

LCM(7137,7143) = 16993197

LCM of 7137 and 7143

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

LCM of:
and

Least Common Multiple of 7137 and 7143

LCM of 7137 and 7143 is 16993197

Least common multiple can be found by multiplying the highest exponent prime factors of 7137 and 7143. First we will calculate the prime factors of 7137 and 7143.

Prime Factorization of 7137


3 7137
3 2379
13 793
61 61
1

Prime factors of 7137 are 3, 13,61. Prime factorization of 7137 in exponential form is:

7137 = 32×131×611

Prime Factorization of 7143


3 7143
2381 2381
1

Prime factors of 7143 are 3,2381. Prime factorization of 7143 in exponential form is:

7143 = 31×23811

Now multiplying the highest exponent prime factors to calculate the LCM of 7137 and 7143.

LCM(7137,7143) = 32×131×611×23811
LCM(7137,7143) = 16993197

Factors of 7137

List of positive integer factors of 7137 that divides 7137 without a remainder.

1, 3, 9, 13, 39, 61, 117, 183, 549, 793, 2379, 7137

Factors of 7143

List of positive integer factors of 7143 that divides 7143 without a remainder.

1, 3, 2381, 7143

Least Common Multiple of 7137 and 7143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7137 and 7143, than apply into the LCM equation.

GCF(7137,7143) = 3
LCM(7137,7143) = ( 7137 × 7143) / 3
LCM(7137,7143) = 50979591 / 3
LCM(7137,7143) = 16993197

Properties of LCM 7137 and 7143

(i) The LCM of 7143 and 7137 is associative

LCM of 7137 and 7143 = LCM of 7143 and 7137

Related Least Common Multiples of 7137

Related Least Common Multiples of 7143

Frequently Asked Questions on LCM of 7137 and 7143

1. What is the LCM of 7137 and 7143?

Answer: LCM of 7137 and 7143 is 16993197.

2. What are the Factors of 7137?

Answer: Factors of 7137 are 1, 3, 9, 13, 39, 61, 117, 183, 549, 793, 2379, 7137. There are 12 integers that are factors of 7137. The greatest factor of 7137 is 7137.

3. What are the Factors of 7143?

Answer: Factors of 7143 are 1, 3, 2381, 7143. There are 4 integers that are factors of 7143. The greatest factor of 7143 is 7143.

4. How to Find the LCM of 7137 and 7143?

Answer:

Least Common Multiple of 7137 and 7143 = 16993197

Step 1: Find the prime factorization of 7137

7137 = 3 x 3 x 13 x 61

Step 2: Find the prime factorization of 7143

7143 = 3 x 2381

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

LCM = 16993197 = 3 x 3 x 13 x 61 x 2381

Step 4: Therefore, the least common multiple of 7137 and 7143 is 16993197.