Least Common Multiple of 5102 and 5106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5102 and 5106 the smallest integer that is 13025406 that is divisible by both numbers.

Least Common Multiple (LCM) of 5102 and 5106 is 13025406.

LCM(5102,5106) = 13025406

LCM of 5102 and 5106

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

LCM of:
and

Least Common Multiple of 5102 and 5106

LCM of 5102 and 5106 is 13025406

Least common multiple can be found by multiplying the highest exponent prime factors of 5102 and 5106. First we will calculate the prime factors of 5102 and 5106.

Prime Factorization of 5102


2 5102
2551 2551
1

Prime factors of 5102 are 2,2551. Prime factorization of 5102 in exponential form is:

5102 = 21×25511

Prime Factorization of 5106


2 5106
3 2553
23 851
37 37
1

Prime factors of 5106 are 2, 3, 23,37. Prime factorization of 5106 in exponential form is:

5106 = 21×31×231×371

Now multiplying the highest exponent prime factors to calculate the LCM of 5102 and 5106.

LCM(5102,5106) = 21×31×231×371×25511
LCM(5102,5106) = 13025406

Factors of 5102

List of positive integer factors of 5102 that divides 5102 without a remainder.

1, 2, 2551, 5102

Factors of 5106

List of positive integer factors of 5106 that divides 5106 without a remainder.

1, 2, 3, 6, 23, 37, 46, 69, 74, 111, 138, 222, 851, 1702, 2553, 5106

Least Common Multiple of 5102 and 5106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5102 and 5106, than apply into the LCM equation.

GCF(5102,5106) = 2
LCM(5102,5106) = ( 5102 × 5106) / 2
LCM(5102,5106) = 26050812 / 2
LCM(5102,5106) = 13025406

Properties of LCM 5102 and 5106

(i) The LCM of 5106 and 5102 is associative

LCM of 5102 and 5106 = LCM of 5106 and 5102

Related Least Common Multiples of 5102

Related Least Common Multiples of 5106

Frequently Asked Questions on LCM of 5102 and 5106

1. What is the LCM of 5102 and 5106?

Answer: LCM of 5102 and 5106 is 13025406.

2. What are the Factors of 5102?

Answer: Factors of 5102 are 1, 2, 2551, 5102. There are 4 integers that are factors of 5102. The greatest factor of 5102 is 5102.

3. What are the Factors of 5106?

Answer: Factors of 5106 are 1, 2, 3, 6, 23, 37, 46, 69, 74, 111, 138, 222, 851, 1702, 2553, 5106. There are 16 integers that are factors of 5106. The greatest factor of 5106 is 5106.

4. How to Find the LCM of 5102 and 5106?

Answer:

Least Common Multiple of 5102 and 5106 = 13025406

Step 1: Find the prime factorization of 5102

5102 = 2 x 2551

Step 2: Find the prime factorization of 5106

5106 = 2 x 3 x 23 x 37

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

LCM = 13025406 = 2 x 3 x 23 x 37 x 2551

Step 4: Therefore, the least common multiple of 5102 and 5106 is 13025406.