Least Common Multiple of 8138 and 8146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8138 and 8146 the smallest integer that is 33146074 that is divisible by both numbers.

Least Common Multiple (LCM) of 8138 and 8146 is 33146074.

LCM(8138,8146) = 33146074

LCM of 8138 and 8146

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

LCM of:
and

Least Common Multiple of 8138 and 8146

LCM of 8138 and 8146 is 33146074

Least common multiple can be found by multiplying the highest exponent prime factors of 8138 and 8146. First we will calculate the prime factors of 8138 and 8146.

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

Prime Factorization of 8146


2 8146
4073 4073
1

Prime factors of 8146 are 2,4073. Prime factorization of 8146 in exponential form is:

8146 = 21×40731

Now multiplying the highest exponent prime factors to calculate the LCM of 8138 and 8146.

LCM(8138,8146) = 21×131×3131×40731
LCM(8138,8146) = 33146074

Factors of 8138

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

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

Factors of 8146

List of positive integer factors of 8146 that divides 8146 without a remainder.

1, 2, 4073, 8146

Least Common Multiple of 8138 and 8146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8138 and 8146, than apply into the LCM equation.

GCF(8138,8146) = 2
LCM(8138,8146) = ( 8138 × 8146) / 2
LCM(8138,8146) = 66292148 / 2
LCM(8138,8146) = 33146074

Properties of LCM 8138 and 8146

(i) The LCM of 8146 and 8138 is associative

LCM of 8138 and 8146 = LCM of 8146 and 8138

Related Least Common Multiples of 8138

Related Least Common Multiples of 8146

Frequently Asked Questions on LCM of 8138 and 8146

1. What is the LCM of 8138 and 8146?

Answer: LCM of 8138 and 8146 is 33146074.

2. 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.

3. What are the Factors of 8146?

Answer: Factors of 8146 are 1, 2, 4073, 8146. There are 4 integers that are factors of 8146. The greatest factor of 8146 is 8146.

4. How to Find the LCM of 8138 and 8146?

Answer:

Least Common Multiple of 8138 and 8146 = 33146074

Step 1: Find the prime factorization of 8138

8138 = 2 x 13 x 313

Step 2: Find the prime factorization of 8146

8146 = 2 x 4073

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

LCM = 33146074 = 2 x 13 x 313 x 4073

Step 4: Therefore, the least common multiple of 8138 and 8146 is 33146074.