Least Common Multiple of 10116 and 10123

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 10123 the smallest integer that is 102404268 that is divisible by both numbers.

Least Common Multiple (LCM) of 10116 and 10123 is 102404268.

LCM(10116,10123) = 102404268

LCM of 10116 and 10123

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

LCM of:
and

Least Common Multiple of 10116 and 10123

LCM of 10116 and 10123 is 102404268

Least common multiple can be found by multiplying the highest exponent prime factors of 10116 and 10123. First we will calculate the prime factors of 10116 and 10123.

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 10123


53 10123
191 191
1

Prime factors of 10123 are 53,191. Prime factorization of 10123 in exponential form is:

10123 = 531×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 10116 and 10123.

LCM(10116,10123) = 22×32×531×1911×2811
LCM(10116,10123) = 102404268

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 10123

List of positive integer factors of 10123 that divides 10123 without a remainder.

1, 53, 191, 10123

Least Common Multiple of 10116 and 10123 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 10123, than apply into the LCM equation.

GCF(10116,10123) = 1
LCM(10116,10123) = ( 10116 × 10123) / 1
LCM(10116,10123) = 102404268 / 1
LCM(10116,10123) = 102404268

Properties of LCM 10116 and 10123

(i) The LCM of 10123 and 10116 is associative

LCM of 10116 and 10123 = LCM of 10123 and 10116

Related Least Common Multiples of 10116

Related Least Common Multiples of 10123

Frequently Asked Questions on LCM of 10116 and 10123

1. What is the LCM of 10116 and 10123?

Answer: LCM of 10116 and 10123 is 102404268.

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 10123?

Answer: Factors of 10123 are 1, 53, 191, 10123. There are 4 integers that are factors of 10123. The greatest factor of 10123 is 10123.

4. How to Find the LCM of 10116 and 10123?

Answer:

Least Common Multiple of 10116 and 10123 = 102404268

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 10123

10123 = 53 x 191

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

LCM = 102404268 = 2 x 2 x 3 x 3 x 53 x 191 x 281

Step 4: Therefore, the least common multiple of 10116 and 10123 is 102404268.