Least Common Multiple of 5110 and 5114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5110 and 5114 the smallest integer that is 13066270 that is divisible by both numbers.

Least Common Multiple (LCM) of 5110 and 5114 is 13066270.

LCM(5110,5114) = 13066270

LCM of 5110 and 5114

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

LCM of:
and

Least Common Multiple of 5110 and 5114

LCM of 5110 and 5114 is 13066270

Least common multiple can be found by multiplying the highest exponent prime factors of 5110 and 5114. First we will calculate the prime factors of 5110 and 5114.

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

Prime Factorization of 5114


2 5114
2557 2557
1

Prime factors of 5114 are 2,2557. Prime factorization of 5114 in exponential form is:

5114 = 21×25571

Now multiplying the highest exponent prime factors to calculate the LCM of 5110 and 5114.

LCM(5110,5114) = 21×51×71×731×25571
LCM(5110,5114) = 13066270

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

Factors of 5114

List of positive integer factors of 5114 that divides 5114 without a remainder.

1, 2, 2557, 5114

Least Common Multiple of 5110 and 5114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5110 and 5114, than apply into the LCM equation.

GCF(5110,5114) = 2
LCM(5110,5114) = ( 5110 × 5114) / 2
LCM(5110,5114) = 26132540 / 2
LCM(5110,5114) = 13066270

Properties of LCM 5110 and 5114

(i) The LCM of 5114 and 5110 is associative

LCM of 5110 and 5114 = LCM of 5114 and 5110

Related Least Common Multiples of 5110

Related Least Common Multiples of 5114

Frequently Asked Questions on LCM of 5110 and 5114

1. What is the LCM of 5110 and 5114?

Answer: LCM of 5110 and 5114 is 13066270.

2. 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.

3. What are the Factors of 5114?

Answer: Factors of 5114 are 1, 2, 2557, 5114. There are 4 integers that are factors of 5114. The greatest factor of 5114 is 5114.

4. How to Find the LCM of 5110 and 5114?

Answer:

Least Common Multiple of 5110 and 5114 = 13066270

Step 1: Find the prime factorization of 5110

5110 = 2 x 5 x 7 x 73

Step 2: Find the prime factorization of 5114

5114 = 2 x 2557

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

LCM = 13066270 = 2 x 5 x 7 x 73 x 2557

Step 4: Therefore, the least common multiple of 5110 and 5114 is 13066270.