Least Common Multiple of 10114 and 10121

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 10121 the smallest integer that is 102363794 that is divisible by both numbers.

Least Common Multiple (LCM) of 10114 and 10121 is 102363794.

LCM(10114,10121) = 102363794

LCM of 10114 and 10121

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

LCM of:
and

Least Common Multiple of 10114 and 10121

LCM of 10114 and 10121 is 102363794

Least common multiple can be found by multiplying the highest exponent prime factors of 10114 and 10121. First we will calculate the prime factors of 10114 and 10121.

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 10121


29 10121
349 349
1

Prime factors of 10121 are 29,349. Prime factorization of 10121 in exponential form is:

10121 = 291×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 10114 and 10121.

LCM(10114,10121) = 21×131×291×3491×3891
LCM(10114,10121) = 102363794

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 10121

List of positive integer factors of 10121 that divides 10121 without a remainder.

1, 29, 349, 10121

Least Common Multiple of 10114 and 10121 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 10121, than apply into the LCM equation.

GCF(10114,10121) = 1
LCM(10114,10121) = ( 10114 × 10121) / 1
LCM(10114,10121) = 102363794 / 1
LCM(10114,10121) = 102363794

Properties of LCM 10114 and 10121

(i) The LCM of 10121 and 10114 is associative

LCM of 10114 and 10121 = LCM of 10121 and 10114

Related Least Common Multiples of 10114

Related Least Common Multiples of 10121

Frequently Asked Questions on LCM of 10114 and 10121

1. What is the LCM of 10114 and 10121?

Answer: LCM of 10114 and 10121 is 102363794.

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 10121?

Answer: Factors of 10121 are 1, 29, 349, 10121. There are 4 integers that are factors of 10121. The greatest factor of 10121 is 10121.

4. How to Find the LCM of 10114 and 10121?

Answer:

Least Common Multiple of 10114 and 10121 = 102363794

Step 1: Find the prime factorization of 10114

10114 = 2 x 13 x 389

Step 2: Find the prime factorization of 10121

10121 = 29 x 349

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

LCM = 102363794 = 2 x 13 x 29 x 349 x 389

Step 4: Therefore, the least common multiple of 10114 and 10121 is 102363794.