Least Common Multiple of 10103 and 10108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10103 and 10108 the smallest integer that is 102121124 that is divisible by both numbers.

Least Common Multiple (LCM) of 10103 and 10108 is 102121124.

LCM(10103,10108) = 102121124

LCM of 10103 and 10108

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

LCM of:
and

Least Common Multiple of 10103 and 10108

LCM of 10103 and 10108 is 102121124

Least common multiple can be found by multiplying the highest exponent prime factors of 10103 and 10108. First we will calculate the prime factors of 10103 and 10108.

Prime Factorization of 10103


10103 10103
1

Prime factors of 10103 are 10103. Prime factorization of 10103 in exponential form is:

10103 = 101031

Prime Factorization of 10108


2 10108
2 5054
7 2527
19 361
19 19
1

Prime factors of 10108 are 2, 7,19. Prime factorization of 10108 in exponential form is:

10108 = 22×71×192

Now multiplying the highest exponent prime factors to calculate the LCM of 10103 and 10108.

LCM(10103,10108) = 22×71×192×101031
LCM(10103,10108) = 102121124

Factors of 10103

List of positive integer factors of 10103 that divides 10103 without a remainder.

1, 10103

Factors of 10108

List of positive integer factors of 10108 that divides 10108 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 361, 532, 722, 1444, 2527, 5054, 10108

Least Common Multiple of 10103 and 10108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10103 and 10108, than apply into the LCM equation.

GCF(10103,10108) = 1
LCM(10103,10108) = ( 10103 × 10108) / 1
LCM(10103,10108) = 102121124 / 1
LCM(10103,10108) = 102121124

Properties of LCM 10103 and 10108

(i) The LCM of 10108 and 10103 is associative

LCM of 10103 and 10108 = LCM of 10108 and 10103

Related Least Common Multiples of 10103

Related Least Common Multiples of 10108

Frequently Asked Questions on LCM of 10103 and 10108

1. What is the LCM of 10103 and 10108?

Answer: LCM of 10103 and 10108 is 102121124.

2. What are the Factors of 10103?

Answer: Factors of 10103 are 1, 10103. There are 2 integers that are factors of 10103. The greatest factor of 10103 is 10103.

3. What are the Factors of 10108?

Answer: Factors of 10108 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 361, 532, 722, 1444, 2527, 5054, 10108. There are 18 integers that are factors of 10108. The greatest factor of 10108 is 10108.

4. How to Find the LCM of 10103 and 10108?

Answer:

Least Common Multiple of 10103 and 10108 = 102121124

Step 1: Find the prime factorization of 10103

10103 = 10103

Step 2: Find the prime factorization of 10108

10108 = 2 x 2 x 7 x 19 x 19

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

LCM = 102121124 = 2 x 2 x 7 x 19 x 19 x 10103

Step 4: Therefore, the least common multiple of 10103 and 10108 is 102121124.