Least Common Multiple of 8135 and 8139

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 8139 the smallest integer that is 66210765 that is divisible by both numbers.

Least Common Multiple (LCM) of 8135 and 8139 is 66210765.

LCM(8135,8139) = 66210765

LCM of 8135 and 8139

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

LCM of:
and

Least Common Multiple of 8135 and 8139

LCM of 8135 and 8139 is 66210765

Least common multiple can be found by multiplying the highest exponent prime factors of 8135 and 8139. First we will calculate the prime factors of 8135 and 8139.

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 8139


3 8139
2713 2713
1

Prime factors of 8139 are 3,2713. Prime factorization of 8139 in exponential form is:

8139 = 31×27131

Now multiplying the highest exponent prime factors to calculate the LCM of 8135 and 8139.

LCM(8135,8139) = 31×51×16271×27131
LCM(8135,8139) = 66210765

Factors of 8135

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

1, 5, 1627, 8135

Factors of 8139

List of positive integer factors of 8139 that divides 8139 without a remainder.

1, 3, 2713, 8139

Least Common Multiple of 8135 and 8139 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 8139, than apply into the LCM equation.

GCF(8135,8139) = 1
LCM(8135,8139) = ( 8135 × 8139) / 1
LCM(8135,8139) = 66210765 / 1
LCM(8135,8139) = 66210765

Properties of LCM 8135 and 8139

(i) The LCM of 8139 and 8135 is associative

LCM of 8135 and 8139 = LCM of 8139 and 8135

Related Least Common Multiples of 8135

Related Least Common Multiples of 8139

Frequently Asked Questions on LCM of 8135 and 8139

1. What is the LCM of 8135 and 8139?

Answer: LCM of 8135 and 8139 is 66210765.

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 8139?

Answer: Factors of 8139 are 1, 3, 2713, 8139. There are 4 integers that are factors of 8139. The greatest factor of 8139 is 8139.

4. How to Find the LCM of 8135 and 8139?

Answer:

Least Common Multiple of 8135 and 8139 = 66210765

Step 1: Find the prime factorization of 8135

8135 = 5 x 1627

Step 2: Find the prime factorization of 8139

8139 = 3 x 2713

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

LCM = 66210765 = 3 x 5 x 1627 x 2713

Step 4: Therefore, the least common multiple of 8135 and 8139 is 66210765.