Least Common Multiple of 8140 and 8141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8140 and 8141 the smallest integer that is 66267740 that is divisible by both numbers.

Least Common Multiple (LCM) of 8140 and 8141 is 66267740.

LCM(8140,8141) = 66267740

LCM of 8140 and 8141

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

LCM of:
and

Least Common Multiple of 8140 and 8141

LCM of 8140 and 8141 is 66267740

Least common multiple can be found by multiplying the highest exponent prime factors of 8140 and 8141. First we will calculate the prime factors of 8140 and 8141.

Prime Factorization of 8140


2 8140
2 4070
5 2035
11 407
37 37
1

Prime factors of 8140 are 2, 5, 11,37. Prime factorization of 8140 in exponential form is:

8140 = 22×51×111×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8140 and 8141.

LCM(8140,8141) = 22×51×71×111×371×11631
LCM(8140,8141) = 66267740

Factors of 8140

List of positive integer factors of 8140 that divides 8140 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140

Factors of 8141

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

1, 7, 1163, 8141

Least Common Multiple of 8140 and 8141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8140 and 8141, than apply into the LCM equation.

GCF(8140,8141) = 1
LCM(8140,8141) = ( 8140 × 8141) / 1
LCM(8140,8141) = 66267740 / 1
LCM(8140,8141) = 66267740

Properties of LCM 8140 and 8141

(i) The LCM of 8141 and 8140 is associative

LCM of 8140 and 8141 = LCM of 8141 and 8140

Related Least Common Multiples of 8140

Related Least Common Multiples of 8141

Frequently Asked Questions on LCM of 8140 and 8141

1. What is the LCM of 8140 and 8141?

Answer: LCM of 8140 and 8141 is 66267740.

2. What are the Factors of 8140?

Answer: Factors of 8140 are 1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140. There are 24 integers that are factors of 8140. The greatest factor of 8140 is 8140.

3. 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.

4. How to Find the LCM of 8140 and 8141?

Answer:

Least Common Multiple of 8140 and 8141 = 66267740

Step 1: Find the prime factorization of 8140

8140 = 2 x 2 x 5 x 11 x 37

Step 2: Find the prime factorization of 8141

8141 = 7 x 1163

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

LCM = 66267740 = 2 x 2 x 5 x 7 x 11 x 37 x 1163

Step 4: Therefore, the least common multiple of 8140 and 8141 is 66267740.