Least Common Multiple of 5135 and 5142

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 5142 the smallest integer that is 26404170 that is divisible by both numbers.

Least Common Multiple (LCM) of 5135 and 5142 is 26404170.

LCM(5135,5142) = 26404170

LCM of 5135 and 5142

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

LCM of:
and

Least Common Multiple of 5135 and 5142

LCM of 5135 and 5142 is 26404170

Least common multiple can be found by multiplying the highest exponent prime factors of 5135 and 5142. First we will calculate the prime factors of 5135 and 5142.

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 5142


2 5142
3 2571
857 857
1

Prime factors of 5142 are 2, 3,857. Prime factorization of 5142 in exponential form is:

5142 = 21×31×8571

Now multiplying the highest exponent prime factors to calculate the LCM of 5135 and 5142.

LCM(5135,5142) = 21×31×51×131×791×8571
LCM(5135,5142) = 26404170

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 5142

List of positive integer factors of 5142 that divides 5142 without a remainder.

1, 2, 3, 6, 857, 1714, 2571, 5142

Least Common Multiple of 5135 and 5142 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 5142, than apply into the LCM equation.

GCF(5135,5142) = 1
LCM(5135,5142) = ( 5135 × 5142) / 1
LCM(5135,5142) = 26404170 / 1
LCM(5135,5142) = 26404170

Properties of LCM 5135 and 5142

(i) The LCM of 5142 and 5135 is associative

LCM of 5135 and 5142 = LCM of 5142 and 5135

Related Least Common Multiples of 5135

Related Least Common Multiples of 5142

Frequently Asked Questions on LCM of 5135 and 5142

1. What is the LCM of 5135 and 5142?

Answer: LCM of 5135 and 5142 is 26404170.

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 5142?

Answer: Factors of 5142 are 1, 2, 3, 6, 857, 1714, 2571, 5142. There are 8 integers that are factors of 5142. The greatest factor of 5142 is 5142.

4. How to Find the LCM of 5135 and 5142?

Answer:

Least Common Multiple of 5135 and 5142 = 26404170

Step 1: Find the prime factorization of 5135

5135 = 5 x 13 x 79

Step 2: Find the prime factorization of 5142

5142 = 2 x 3 x 857

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

LCM = 26404170 = 2 x 3 x 5 x 13 x 79 x 857

Step 4: Therefore, the least common multiple of 5135 and 5142 is 26404170.