Least Common Multiple of 10110 and 10116

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 10116 the smallest integer that is 17045460 that is divisible by both numbers.

Least Common Multiple (LCM) of 10110 and 10116 is 17045460.

LCM(10110,10116) = 17045460

LCM of 10110 and 10116

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

LCM of:
and

Least Common Multiple of 10110 and 10116

LCM of 10110 and 10116 is 17045460

Least common multiple can be found by multiplying the highest exponent prime factors of 10110 and 10116. First we will calculate the prime factors of 10110 and 10116.

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 10116


2 10116
2 5058
3 2529
3 843
281 281
1

Prime factors of 10116 are 2, 3,281. Prime factorization of 10116 in exponential form is:

10116 = 22×32×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 10110 and 10116.

LCM(10110,10116) = 22×32×51×2811×3371
LCM(10110,10116) = 17045460

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 10116

List of positive integer factors of 10116 that divides 10116 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 281, 562, 843, 1124, 1686, 2529, 3372, 5058, 10116

Least Common Multiple of 10110 and 10116 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 10116, than apply into the LCM equation.

GCF(10110,10116) = 6
LCM(10110,10116) = ( 10110 × 10116) / 6
LCM(10110,10116) = 102272760 / 6
LCM(10110,10116) = 17045460

Properties of LCM 10110 and 10116

(i) The LCM of 10116 and 10110 is associative

LCM of 10110 and 10116 = LCM of 10116 and 10110

Related Least Common Multiples of 10110

Related Least Common Multiples of 10116

Frequently Asked Questions on LCM of 10110 and 10116

1. What is the LCM of 10110 and 10116?

Answer: LCM of 10110 and 10116 is 17045460.

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 10116?

Answer: Factors of 10116 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 281, 562, 843, 1124, 1686, 2529, 3372, 5058, 10116. There are 18 integers that are factors of 10116. The greatest factor of 10116 is 10116.

4. How to Find the LCM of 10110 and 10116?

Answer:

Least Common Multiple of 10110 and 10116 = 17045460

Step 1: Find the prime factorization of 10110

10110 = 2 x 3 x 5 x 337

Step 2: Find the prime factorization of 10116

10116 = 2 x 2 x 3 x 3 x 281

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

LCM = 17045460 = 2 x 2 x 3 x 3 x 5 x 281 x 337

Step 4: Therefore, the least common multiple of 10110 and 10116 is 17045460.