Least Common Multiple of 8131 and 8138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8131 and 8138 the smallest integer that is 66170078 that is divisible by both numbers.

Least Common Multiple (LCM) of 8131 and 8138 is 66170078.

LCM(8131,8138) = 66170078

LCM of 8131 and 8138

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

LCM of:
and

Least Common Multiple of 8131 and 8138

LCM of 8131 and 8138 is 66170078

Least common multiple can be found by multiplying the highest exponent prime factors of 8131 and 8138. First we will calculate the prime factors of 8131 and 8138.

Prime Factorization of 8131


47 8131
173 173
1

Prime factors of 8131 are 47,173. Prime factorization of 8131 in exponential form is:

8131 = 471×1731

Prime Factorization of 8138


2 8138
13 4069
313 313
1

Prime factors of 8138 are 2, 13,313. Prime factorization of 8138 in exponential form is:

8138 = 21×131×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 8131 and 8138.

LCM(8131,8138) = 21×131×471×1731×3131
LCM(8131,8138) = 66170078

Factors of 8131

List of positive integer factors of 8131 that divides 8131 without a remainder.

1, 47, 173, 8131

Factors of 8138

List of positive integer factors of 8138 that divides 8138 without a remainder.

1, 2, 13, 26, 313, 626, 4069, 8138

Least Common Multiple of 8131 and 8138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8131 and 8138, than apply into the LCM equation.

GCF(8131,8138) = 1
LCM(8131,8138) = ( 8131 × 8138) / 1
LCM(8131,8138) = 66170078 / 1
LCM(8131,8138) = 66170078

Properties of LCM 8131 and 8138

(i) The LCM of 8138 and 8131 is associative

LCM of 8131 and 8138 = LCM of 8138 and 8131

Related Least Common Multiples of 8131

Related Least Common Multiples of 8138

Frequently Asked Questions on LCM of 8131 and 8138

1. What is the LCM of 8131 and 8138?

Answer: LCM of 8131 and 8138 is 66170078.

2. What are the Factors of 8131?

Answer: Factors of 8131 are 1, 47, 173, 8131. There are 4 integers that are factors of 8131. The greatest factor of 8131 is 8131.

3. What are the Factors of 8138?

Answer: Factors of 8138 are 1, 2, 13, 26, 313, 626, 4069, 8138. There are 8 integers that are factors of 8138. The greatest factor of 8138 is 8138.

4. How to Find the LCM of 8131 and 8138?

Answer:

Least Common Multiple of 8131 and 8138 = 66170078

Step 1: Find the prime factorization of 8131

8131 = 47 x 173

Step 2: Find the prime factorization of 8138

8138 = 2 x 13 x 313

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

LCM = 66170078 = 2 x 13 x 47 x 173 x 313

Step 4: Therefore, the least common multiple of 8131 and 8138 is 66170078.