Least Common Multiple of 7138 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 7138 and 7143 the smallest integer that is 50986734 that is divisible by both numbers.

Least Common Multiple (LCM) of 7138 and 7143 is 50986734.

LCM(7138,7143) = 50986734

LCM of 7138 and 7143

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

LCM of:
and

Least Common Multiple of 7138 and 7143

LCM of 7138 and 7143 is 50986734

Least common multiple can be found by multiplying the highest exponent prime factors of 7138 and 7143. First we will calculate the prime factors of 7138 and 7143.

Prime Factorization of 7138


2 7138
43 3569
83 83
1

Prime factors of 7138 are 2, 43,83. Prime factorization of 7138 in exponential form is:

7138 = 21×431×831

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 7138 and 7143.

LCM(7138,7143) = 21×31×431×831×23811
LCM(7138,7143) = 50986734

Factors of 7138

List of positive integer factors of 7138 that divides 7138 without a remainder.

1, 2, 43, 83, 86, 166, 3569, 7138

Factors of 7143

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

1, 3, 2381, 7143

Least Common Multiple of 7138 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 7138 and 7143, than apply into the LCM equation.

GCF(7138,7143) = 1
LCM(7138,7143) = ( 7138 × 7143) / 1
LCM(7138,7143) = 50986734 / 1
LCM(7138,7143) = 50986734

Properties of LCM 7138 and 7143

(i) The LCM of 7143 and 7138 is associative

LCM of 7138 and 7143 = LCM of 7143 and 7138

Related Least Common Multiples of 7138

Related Least Common Multiples of 7143

Frequently Asked Questions on LCM of 7138 and 7143

1. What is the LCM of 7138 and 7143?

Answer: LCM of 7138 and 7143 is 50986734.

2. What are the Factors of 7138?

Answer: Factors of 7138 are 1, 2, 43, 83, 86, 166, 3569, 7138. There are 8 integers that are factors of 7138. The greatest factor of 7138 is 7138.

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 7138 and 7143?

Answer:

Least Common Multiple of 7138 and 7143 = 50986734

Step 1: Find the prime factorization of 7138

7138 = 2 x 43 x 83

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 = 50986734 = 2 x 3 x 43 x 83 x 2381

Step 4: Therefore, the least common multiple of 7138 and 7143 is 50986734.