Least Common Multiple of 10110 and 10114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10110 and 10114 the smallest integer that is 51126270 that is divisible by both numbers.

Least Common Multiple (LCM) of 10110 and 10114 is 51126270.

LCM(10110,10114) = 51126270

LCM of 10110 and 10114

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

LCM of:
and

Least Common Multiple of 10110 and 10114

LCM of 10110 and 10114 is 51126270

Least common multiple can be found by multiplying the highest exponent prime factors of 10110 and 10114. First we will calculate the prime factors of 10110 and 10114.

Prime Factorization of 10110


2 10110
3 5055
5 1685
337 337
1

Prime factors of 10110 are 2, 3, 5,337. Prime factorization of 10110 in exponential form is:

10110 = 21×31×51×3371

Prime Factorization of 10114


2 10114
13 5057
389 389
1

Prime factors of 10114 are 2, 13,389. Prime factorization of 10114 in exponential form is:

10114 = 21×131×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 10110 and 10114.

LCM(10110,10114) = 21×31×51×131×3371×3891
LCM(10110,10114) = 51126270

Factors of 10110

List of positive integer factors of 10110 that divides 10110 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 337, 674, 1011, 1685, 2022, 3370, 5055, 10110

Factors of 10114

List of positive integer factors of 10114 that divides 10114 without a remainder.

1, 2, 13, 26, 389, 778, 5057, 10114

Least Common Multiple of 10110 and 10114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10110 and 10114, than apply into the LCM equation.

GCF(10110,10114) = 2
LCM(10110,10114) = ( 10110 × 10114) / 2
LCM(10110,10114) = 102252540 / 2
LCM(10110,10114) = 51126270

Properties of LCM 10110 and 10114

(i) The LCM of 10114 and 10110 is associative

LCM of 10110 and 10114 = LCM of 10114 and 10110

Related Least Common Multiples of 10110

Related Least Common Multiples of 10114

Frequently Asked Questions on LCM of 10110 and 10114

1. What is the LCM of 10110 and 10114?

Answer: LCM of 10110 and 10114 is 51126270.

2. What are the Factors of 10110?

Answer: Factors of 10110 are 1, 2, 3, 5, 6, 10, 15, 30, 337, 674, 1011, 1685, 2022, 3370, 5055, 10110. There are 16 integers that are factors of 10110. The greatest factor of 10110 is 10110.

3. What are the Factors of 10114?

Answer: Factors of 10114 are 1, 2, 13, 26, 389, 778, 5057, 10114. There are 8 integers that are factors of 10114. The greatest factor of 10114 is 10114.

4. How to Find the LCM of 10110 and 10114?

Answer:

Least Common Multiple of 10110 and 10114 = 51126270

Step 1: Find the prime factorization of 10110

10110 = 2 x 3 x 5 x 337

Step 2: Find the prime factorization of 10114

10114 = 2 x 13 x 389

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

LCM = 51126270 = 2 x 3 x 5 x 13 x 337 x 389

Step 4: Therefore, the least common multiple of 10110 and 10114 is 51126270.