Least Common Multiple of 8141 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 8141 and 8146 the smallest integer that is 66316586 that is divisible by both numbers.

Least Common Multiple (LCM) of 8141 and 8146 is 66316586.

LCM(8141,8146) = 66316586

LCM of 8141 and 8146

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

LCM of:
and

Least Common Multiple of 8141 and 8146

LCM of 8141 and 8146 is 66316586

Least common multiple can be found by multiplying the highest exponent prime factors of 8141 and 8146. First we will calculate the prime factors of 8141 and 8146.

Prime Factorization of 8141


7 8141
1163 1163
1

Prime factors of 8141 are 7,1163. Prime factorization of 8141 in exponential form is:

8141 = 71×11631

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 8141 and 8146.

LCM(8141,8146) = 21×71×11631×40731
LCM(8141,8146) = 66316586

Factors of 8141

List of positive integer factors of 8141 that divides 8141 without a remainder.

1, 7, 1163, 8141

Factors of 8146

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

1, 2, 4073, 8146

Least Common Multiple of 8141 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 8141 and 8146, than apply into the LCM equation.

GCF(8141,8146) = 1
LCM(8141,8146) = ( 8141 × 8146) / 1
LCM(8141,8146) = 66316586 / 1
LCM(8141,8146) = 66316586

Properties of LCM 8141 and 8146

(i) The LCM of 8146 and 8141 is associative

LCM of 8141 and 8146 = LCM of 8146 and 8141

Related Least Common Multiples of 8141

Related Least Common Multiples of 8146

Frequently Asked Questions on LCM of 8141 and 8146

1. What is the LCM of 8141 and 8146?

Answer: LCM of 8141 and 8146 is 66316586.

2. What are the Factors of 8141?

Answer: Factors of 8141 are 1, 7, 1163, 8141. There are 4 integers that are factors of 8141. The greatest factor of 8141 is 8141.

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 8141 and 8146?

Answer:

Least Common Multiple of 8141 and 8146 = 66316586

Step 1: Find the prime factorization of 8141

8141 = 7 x 1163

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 = 66316586 = 2 x 7 x 1163 x 4073

Step 4: Therefore, the least common multiple of 8141 and 8146 is 66316586.