Least Common Multiple of 10116 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 10116 and 10121 the smallest integer that is 102384036 that is divisible by both numbers.

Least Common Multiple (LCM) of 10116 and 10121 is 102384036.

LCM(10116,10121) = 102384036

LCM of 10116 and 10121

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

LCM of:
and

Least Common Multiple of 10116 and 10121

LCM of 10116 and 10121 is 102384036

Least common multiple can be found by multiplying the highest exponent prime factors of 10116 and 10121. First we will calculate the prime factors of 10116 and 10121.

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

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 10116 and 10121.

LCM(10116,10121) = 22×32×291×2811×3491
LCM(10116,10121) = 102384036

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

Factors of 10121

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

1, 29, 349, 10121

Least Common Multiple of 10116 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 10116 and 10121, than apply into the LCM equation.

GCF(10116,10121) = 1
LCM(10116,10121) = ( 10116 × 10121) / 1
LCM(10116,10121) = 102384036 / 1
LCM(10116,10121) = 102384036

Properties of LCM 10116 and 10121

(i) The LCM of 10121 and 10116 is associative

LCM of 10116 and 10121 = LCM of 10121 and 10116

Related Least Common Multiples of 10116

Related Least Common Multiples of 10121

Frequently Asked Questions on LCM of 10116 and 10121

1. What is the LCM of 10116 and 10121?

Answer: LCM of 10116 and 10121 is 102384036.

2. 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.

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 10116 and 10121?

Answer:

Least Common Multiple of 10116 and 10121 = 102384036

Step 1: Find the prime factorization of 10116

10116 = 2 x 2 x 3 x 3 x 281

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 = 102384036 = 2 x 2 x 3 x 3 x 29 x 281 x 349

Step 4: Therefore, the least common multiple of 10116 and 10121 is 102384036.