Least Common Multiple of 10110 and 10118

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 10118 the smallest integer that is 51146490 that is divisible by both numbers.

Least Common Multiple (LCM) of 10110 and 10118 is 51146490.

LCM(10110,10118) = 51146490

LCM of 10110 and 10118

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

LCM of:
and

Least Common Multiple of 10110 and 10118

LCM of 10110 and 10118 is 51146490

Least common multiple can be found by multiplying the highest exponent prime factors of 10110 and 10118. First we will calculate the prime factors of 10110 and 10118.

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 10118


2 10118
5059 5059
1

Prime factors of 10118 are 2,5059. Prime factorization of 10118 in exponential form is:

10118 = 21×50591

Now multiplying the highest exponent prime factors to calculate the LCM of 10110 and 10118.

LCM(10110,10118) = 21×31×51×3371×50591
LCM(10110,10118) = 51146490

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 10118

List of positive integer factors of 10118 that divides 10118 without a remainder.

1, 2, 5059, 10118

Least Common Multiple of 10110 and 10118 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 10118, than apply into the LCM equation.

GCF(10110,10118) = 2
LCM(10110,10118) = ( 10110 × 10118) / 2
LCM(10110,10118) = 102292980 / 2
LCM(10110,10118) = 51146490

Properties of LCM 10110 and 10118

(i) The LCM of 10118 and 10110 is associative

LCM of 10110 and 10118 = LCM of 10118 and 10110

Related Least Common Multiples of 10110

Related Least Common Multiples of 10118

Frequently Asked Questions on LCM of 10110 and 10118

1. What is the LCM of 10110 and 10118?

Answer: LCM of 10110 and 10118 is 51146490.

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 10118?

Answer: Factors of 10118 are 1, 2, 5059, 10118. There are 4 integers that are factors of 10118. The greatest factor of 10118 is 10118.

4. How to Find the LCM of 10110 and 10118?

Answer:

Least Common Multiple of 10110 and 10118 = 51146490

Step 1: Find the prime factorization of 10110

10110 = 2 x 3 x 5 x 337

Step 2: Find the prime factorization of 10118

10118 = 2 x 5059

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

LCM = 51146490 = 2 x 3 x 5 x 337 x 5059

Step 4: Therefore, the least common multiple of 10110 and 10118 is 51146490.