Least Common Multiple of 5134 and 5135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5134 and 5135 the smallest integer that is 26363090 that is divisible by both numbers.

Least Common Multiple (LCM) of 5134 and 5135 is 26363090.

LCM(5134,5135) = 26363090

LCM of 5134 and 5135

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

LCM of:
and

Least Common Multiple of 5134 and 5135

LCM of 5134 and 5135 is 26363090

Least common multiple can be found by multiplying the highest exponent prime factors of 5134 and 5135. First we will calculate the prime factors of 5134 and 5135.

Prime Factorization of 5134


2 5134
17 2567
151 151
1

Prime factors of 5134 are 2, 17,151. Prime factorization of 5134 in exponential form is:

5134 = 21×171×1511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5134 and 5135.

LCM(5134,5135) = 21×51×131×171×791×1511
LCM(5134,5135) = 26363090

Factors of 5134

List of positive integer factors of 5134 that divides 5134 without a remainder.

1, 2, 17, 34, 151, 302, 2567, 5134

Factors of 5135

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

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

Least Common Multiple of 5134 and 5135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5134 and 5135, than apply into the LCM equation.

GCF(5134,5135) = 1
LCM(5134,5135) = ( 5134 × 5135) / 1
LCM(5134,5135) = 26363090 / 1
LCM(5134,5135) = 26363090

Properties of LCM 5134 and 5135

(i) The LCM of 5135 and 5134 is associative

LCM of 5134 and 5135 = LCM of 5135 and 5134

Related Least Common Multiples of 5134

Related Least Common Multiples of 5135

Frequently Asked Questions on LCM of 5134 and 5135

1. What is the LCM of 5134 and 5135?

Answer: LCM of 5134 and 5135 is 26363090.

2. What are the Factors of 5134?

Answer: Factors of 5134 are 1, 2, 17, 34, 151, 302, 2567, 5134. There are 8 integers that are factors of 5134. The greatest factor of 5134 is 5134.

3. 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.

4. How to Find the LCM of 5134 and 5135?

Answer:

Least Common Multiple of 5134 and 5135 = 26363090

Step 1: Find the prime factorization of 5134

5134 = 2 x 17 x 151

Step 2: Find the prime factorization of 5135

5135 = 5 x 13 x 79

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

LCM = 26363090 = 2 x 5 x 13 x 17 x 79 x 151

Step 4: Therefore, the least common multiple of 5134 and 5135 is 26363090.