Least Common Multiple of 104 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 104 and 108 the smallest integer that is 2808 that is divisible by both numbers.

Least Common Multiple (LCM) of 104 and 108 is 2808.

LCM(104,108) = 2808

LCM of 104 and 108

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

LCM of:
and

Least Common Multiple of 104 and 108

LCM of 104 and 108 is 2808

Least common multiple can be found by multiplying the highest exponent prime factors of 104 and 108. First we will calculate the prime factors of 104 and 108.

Prime Factorization of 104


2 104
2 52
2 26
13 13
1

Prime factors of 104 are 2,13. Prime factorization of 104 in exponential form is:

104 = 23×131

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 104 and 108.

LCM(104,108) = 23×33×131
LCM(104,108) = 2808

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

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 104 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 104 and 108, than apply into the LCM equation.

GCF(104,108) = 4
LCM(104,108) = ( 104 × 108) / 4
LCM(104,108) = 11232 / 4
LCM(104,108) = 2808

Properties of LCM 104 and 108

(i) The LCM of 108 and 104 is associative

LCM of 104 and 108 = LCM of 108 and 104

Related Least Common Multiples of 104

Related Least Common Multiples of 108

Frequently Asked Questions on LCM of 104 and 108

1. What is the LCM of 104 and 108?

Answer: LCM of 104 and 108 is 2808.

2. What are the Factors of 104?

Answer: Factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104. There are 8 integers that are factors of 104. The greatest factor of 104 is 104.

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 104 and 108?

Answer:

Least Common Multiple of 104 and 108 = 2808

Step 1: Find the prime factorization of 104

104 = 2 x 2 x 2 x 13

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 = 2808 = 2 x 2 x 2 x 3 x 3 x 3 x 13

Step 4: Therefore, the least common multiple of 104 and 108 is 2808.