Least Common Multiple of 5135 and 5139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5135 and 5139 the smallest integer that is 26388765 that is divisible by both numbers.

Least Common Multiple (LCM) of 5135 and 5139 is 26388765.

LCM(5135,5139) = 26388765

LCM of 5135 and 5139

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

LCM of:
and

Least Common Multiple of 5135 and 5139

LCM of 5135 and 5139 is 26388765

Least common multiple can be found by multiplying the highest exponent prime factors of 5135 and 5139. First we will calculate the prime factors of 5135 and 5139.

Prime Factorization of 5135


5 5135
13 1027
79 79
1

Prime factors of 5135 are 5, 13,79. Prime factorization of 5135 in exponential form is:

5135 = 51×131×791

Prime Factorization of 5139


3 5139
3 1713
571 571
1

Prime factors of 5139 are 3,571. Prime factorization of 5139 in exponential form is:

5139 = 32×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 5135 and 5139.

LCM(5135,5139) = 32×51×131×791×5711
LCM(5135,5139) = 26388765

Factors of 5135

List of positive integer factors of 5135 that divides 5135 without a remainder.

1, 5, 13, 65, 79, 395, 1027, 5135

Factors of 5139

List of positive integer factors of 5139 that divides 5139 without a remainder.

1, 3, 9, 571, 1713, 5139

Least Common Multiple of 5135 and 5139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5135 and 5139, than apply into the LCM equation.

GCF(5135,5139) = 1
LCM(5135,5139) = ( 5135 × 5139) / 1
LCM(5135,5139) = 26388765 / 1
LCM(5135,5139) = 26388765

Properties of LCM 5135 and 5139

(i) The LCM of 5139 and 5135 is associative

LCM of 5135 and 5139 = LCM of 5139 and 5135

Related Least Common Multiples of 5135

Related Least Common Multiples of 5139

Frequently Asked Questions on LCM of 5135 and 5139

1. What is the LCM of 5135 and 5139?

Answer: LCM of 5135 and 5139 is 26388765.

2. What are the Factors of 5135?

Answer: Factors of 5135 are 1, 5, 13, 65, 79, 395, 1027, 5135. There are 8 integers that are factors of 5135. The greatest factor of 5135 is 5135.

3. What are the Factors of 5139?

Answer: Factors of 5139 are 1, 3, 9, 571, 1713, 5139. There are 6 integers that are factors of 5139. The greatest factor of 5139 is 5139.

4. How to Find the LCM of 5135 and 5139?

Answer:

Least Common Multiple of 5135 and 5139 = 26388765

Step 1: Find the prime factorization of 5135

5135 = 5 x 13 x 79

Step 2: Find the prime factorization of 5139

5139 = 3 x 3 x 571

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

LCM = 26388765 = 3 x 3 x 5 x 13 x 79 x 571

Step 4: Therefore, the least common multiple of 5135 and 5139 is 26388765.