Least Common Multiple of 10114 and 10122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10114 and 10122 the smallest integer that is 51186954 that is divisible by both numbers.

Least Common Multiple (LCM) of 10114 and 10122 is 51186954.

LCM(10114,10122) = 51186954

LCM of 10114 and 10122

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

LCM of:
and

Least Common Multiple of 10114 and 10122

LCM of 10114 and 10122 is 51186954

Least common multiple can be found by multiplying the highest exponent prime factors of 10114 and 10122. First we will calculate the prime factors of 10114 and 10122.

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

Prime Factorization of 10122


2 10122
3 5061
7 1687
241 241
1

Prime factors of 10122 are 2, 3, 7,241. Prime factorization of 10122 in exponential form is:

10122 = 21×31×71×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 10114 and 10122.

LCM(10114,10122) = 21×31×71×131×2411×3891
LCM(10114,10122) = 51186954

Factors of 10114

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

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

Factors of 10122

List of positive integer factors of 10122 that divides 10122 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 241, 482, 723, 1446, 1687, 3374, 5061, 10122

Least Common Multiple of 10114 and 10122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10114 and 10122, than apply into the LCM equation.

GCF(10114,10122) = 2
LCM(10114,10122) = ( 10114 × 10122) / 2
LCM(10114,10122) = 102373908 / 2
LCM(10114,10122) = 51186954

Properties of LCM 10114 and 10122

(i) The LCM of 10122 and 10114 is associative

LCM of 10114 and 10122 = LCM of 10122 and 10114

Related Least Common Multiples of 10114

Related Least Common Multiples of 10122

Frequently Asked Questions on LCM of 10114 and 10122

1. What is the LCM of 10114 and 10122?

Answer: LCM of 10114 and 10122 is 51186954.

2. 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.

3. What are the Factors of 10122?

Answer: Factors of 10122 are 1, 2, 3, 6, 7, 14, 21, 42, 241, 482, 723, 1446, 1687, 3374, 5061, 10122. There are 16 integers that are factors of 10122. The greatest factor of 10122 is 10122.

4. How to Find the LCM of 10114 and 10122?

Answer:

Least Common Multiple of 10114 and 10122 = 51186954

Step 1: Find the prime factorization of 10114

10114 = 2 x 13 x 389

Step 2: Find the prime factorization of 10122

10122 = 2 x 3 x 7 x 241

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

LCM = 51186954 = 2 x 3 x 7 x 13 x 241 x 389

Step 4: Therefore, the least common multiple of 10114 and 10122 is 51186954.