Least Common Multiple of 103 and 108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 103 and 108 the smallest integer that is 11124 that is divisible by both numbers.

Least Common Multiple (LCM) of 103 and 108 is 11124.

LCM(103,108) = 11124

LCM of 103 and 108

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

LCM of:
and

Least Common Multiple of 103 and 108

LCM of 103 and 108 is 11124

Least common multiple can be found by multiplying the highest exponent prime factors of 103 and 108. First we will calculate the prime factors of 103 and 108.

Prime Factorization of 103


103 103
1

Prime factors of 103 are 103. Prime factorization of 103 in exponential form is:

103 = 1031

Prime Factorization of 108


2 108
2 54
3 27
3 9
3 3
1

Prime factors of 108 are 2,3. Prime factorization of 108 in exponential form is:

108 = 22×33

Now multiplying the highest exponent prime factors to calculate the LCM of 103 and 108.

LCM(103,108) = 22×33×1031
LCM(103,108) = 11124

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1, 103

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Least Common Multiple of 103 and 108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 103 and 108, than apply into the LCM equation.

GCF(103,108) = 1
LCM(103,108) = ( 103 × 108) / 1
LCM(103,108) = 11124 / 1
LCM(103,108) = 11124

Properties of LCM 103 and 108

(i) The LCM of 108 and 103 is associative

LCM of 103 and 108 = LCM of 108 and 103

Related Least Common Multiples of 103

Related Least Common Multiples of 108

Frequently Asked Questions on LCM of 103 and 108

1. What is the LCM of 103 and 108?

Answer: LCM of 103 and 108 is 11124.

2. What are the Factors of 103?

Answer: Factors of 103 are 1, 103. There are 2 integers that are factors of 103. The greatest factor of 103 is 103.

3. What are the Factors of 108?

Answer: Factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108. There are 12 integers that are factors of 108. The greatest factor of 108 is 108.

4. How to Find the LCM of 103 and 108?

Answer:

Least Common Multiple of 103 and 108 = 11124

Step 1: Find the prime factorization of 103

103 = 103

Step 2: Find the prime factorization of 108

108 = 2 x 2 x 3 x 3 x 3

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

LCM = 11124 = 2 x 2 x 3 x 3 x 3 x 103

Step 4: Therefore, the least common multiple of 103 and 108 is 11124.