Least Common Multiple of 7131 and 7138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7131 and 7138 the smallest integer that is 50901078 that is divisible by both numbers.

Least Common Multiple (LCM) of 7131 and 7138 is 50901078.

LCM(7131,7138) = 50901078

LCM of 7131 and 7138

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

LCM of:
and

Least Common Multiple of 7131 and 7138

LCM of 7131 and 7138 is 50901078

Least common multiple can be found by multiplying the highest exponent prime factors of 7131 and 7138. First we will calculate the prime factors of 7131 and 7138.

Prime Factorization of 7131


3 7131
2377 2377
1

Prime factors of 7131 are 3,2377. Prime factorization of 7131 in exponential form is:

7131 = 31×23771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7131 and 7138.

LCM(7131,7138) = 21×31×431×831×23771
LCM(7131,7138) = 50901078

Factors of 7131

List of positive integer factors of 7131 that divides 7131 without a remainder.

1, 3, 2377, 7131

Factors of 7138

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

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

Least Common Multiple of 7131 and 7138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7131 and 7138, than apply into the LCM equation.

GCF(7131,7138) = 1
LCM(7131,7138) = ( 7131 × 7138) / 1
LCM(7131,7138) = 50901078 / 1
LCM(7131,7138) = 50901078

Properties of LCM 7131 and 7138

(i) The LCM of 7138 and 7131 is associative

LCM of 7131 and 7138 = LCM of 7138 and 7131

Related Least Common Multiples of 7131

Related Least Common Multiples of 7138

Frequently Asked Questions on LCM of 7131 and 7138

1. What is the LCM of 7131 and 7138?

Answer: LCM of 7131 and 7138 is 50901078.

2. What are the Factors of 7131?

Answer: Factors of 7131 are 1, 3, 2377, 7131. There are 4 integers that are factors of 7131. The greatest factor of 7131 is 7131.

3. 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.

4. How to Find the LCM of 7131 and 7138?

Answer:

Least Common Multiple of 7131 and 7138 = 50901078

Step 1: Find the prime factorization of 7131

7131 = 3 x 2377

Step 2: Find the prime factorization of 7138

7138 = 2 x 43 x 83

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

LCM = 50901078 = 2 x 3 x 43 x 83 x 2377

Step 4: Therefore, the least common multiple of 7131 and 7138 is 50901078.