Least Common Multiple of 5107 and 5110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5107 and 5110 the smallest integer that is 26096770 that is divisible by both numbers.

Least Common Multiple (LCM) of 5107 and 5110 is 26096770.

LCM(5107,5110) = 26096770

LCM of 5107 and 5110

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

LCM of:
and

Least Common Multiple of 5107 and 5110

LCM of 5107 and 5110 is 26096770

Least common multiple can be found by multiplying the highest exponent prime factors of 5107 and 5110. First we will calculate the prime factors of 5107 and 5110.

Prime Factorization of 5107


5107 5107
1

Prime factors of 5107 are 5107. Prime factorization of 5107 in exponential form is:

5107 = 51071

Prime Factorization of 5110


2 5110
5 2555
7 511
73 73
1

Prime factors of 5110 are 2, 5, 7,73. Prime factorization of 5110 in exponential form is:

5110 = 21×51×71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 5107 and 5110.

LCM(5107,5110) = 21×51×71×731×51071
LCM(5107,5110) = 26096770

Factors of 5107

List of positive integer factors of 5107 that divides 5107 without a remainder.

1, 5107

Factors of 5110

List of positive integer factors of 5110 that divides 5110 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 73, 146, 365, 511, 730, 1022, 2555, 5110

Least Common Multiple of 5107 and 5110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5107 and 5110, than apply into the LCM equation.

GCF(5107,5110) = 1
LCM(5107,5110) = ( 5107 × 5110) / 1
LCM(5107,5110) = 26096770 / 1
LCM(5107,5110) = 26096770

Properties of LCM 5107 and 5110

(i) The LCM of 5110 and 5107 is associative

LCM of 5107 and 5110 = LCM of 5110 and 5107

Related Least Common Multiples of 5107

Related Least Common Multiples of 5110

Frequently Asked Questions on LCM of 5107 and 5110

1. What is the LCM of 5107 and 5110?

Answer: LCM of 5107 and 5110 is 26096770.

2. What are the Factors of 5107?

Answer: Factors of 5107 are 1, 5107. There are 2 integers that are factors of 5107. The greatest factor of 5107 is 5107.

3. What are the Factors of 5110?

Answer: Factors of 5110 are 1, 2, 5, 7, 10, 14, 35, 70, 73, 146, 365, 511, 730, 1022, 2555, 5110. There are 16 integers that are factors of 5110. The greatest factor of 5110 is 5110.

4. How to Find the LCM of 5107 and 5110?

Answer:

Least Common Multiple of 5107 and 5110 = 26096770

Step 1: Find the prime factorization of 5107

5107 = 5107

Step 2: Find the prime factorization of 5110

5110 = 2 x 5 x 7 x 73

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

LCM = 26096770 = 2 x 5 x 7 x 73 x 5107

Step 4: Therefore, the least common multiple of 5107 and 5110 is 26096770.