Least Common Multiple of 8135 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 8135 and 8141 the smallest integer that is 66227035 that is divisible by both numbers.

Least Common Multiple (LCM) of 8135 and 8141 is 66227035.

LCM(8135,8141) = 66227035

LCM of 8135 and 8141

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

LCM of:
and

Least Common Multiple of 8135 and 8141

LCM of 8135 and 8141 is 66227035

Least common multiple can be found by multiplying the highest exponent prime factors of 8135 and 8141. First we will calculate the prime factors of 8135 and 8141.

Prime Factorization of 8135


5 8135
1627 1627
1

Prime factors of 8135 are 5,1627. Prime factorization of 8135 in exponential form is:

8135 = 51×16271

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 8135 and 8141.

LCM(8135,8141) = 51×71×11631×16271
LCM(8135,8141) = 66227035

Factors of 8135

List of positive integer factors of 8135 that divides 8135 without a remainder.

1, 5, 1627, 8135

Factors of 8141

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

1, 7, 1163, 8141

Least Common Multiple of 8135 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 8135 and 8141, than apply into the LCM equation.

GCF(8135,8141) = 1
LCM(8135,8141) = ( 8135 × 8141) / 1
LCM(8135,8141) = 66227035 / 1
LCM(8135,8141) = 66227035

Properties of LCM 8135 and 8141

(i) The LCM of 8141 and 8135 is associative

LCM of 8135 and 8141 = LCM of 8141 and 8135

Related Least Common Multiples of 8135

Related Least Common Multiples of 8141

Frequently Asked Questions on LCM of 8135 and 8141

1. What is the LCM of 8135 and 8141?

Answer: LCM of 8135 and 8141 is 66227035.

2. What are the Factors of 8135?

Answer: Factors of 8135 are 1, 5, 1627, 8135. There are 4 integers that are factors of 8135. The greatest factor of 8135 is 8135.

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 8135 and 8141?

Answer:

Least Common Multiple of 8135 and 8141 = 66227035

Step 1: Find the prime factorization of 8135

8135 = 5 x 1627

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 = 66227035 = 5 x 7 x 1163 x 1627

Step 4: Therefore, the least common multiple of 8135 and 8141 is 66227035.