Least Common Multiple of 8104 and 8108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8104 and 8108 the smallest integer that is 16426808 that is divisible by both numbers.

Least Common Multiple (LCM) of 8104 and 8108 is 16426808.

LCM(8104,8108) = 16426808

LCM of 8104 and 8108

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

LCM of:
and

Least Common Multiple of 8104 and 8108

LCM of 8104 and 8108 is 16426808

Least common multiple can be found by multiplying the highest exponent prime factors of 8104 and 8108. First we will calculate the prime factors of 8104 and 8108.

Prime Factorization of 8104


2 8104
2 4052
2 2026
1013 1013
1

Prime factors of 8104 are 2,1013. Prime factorization of 8104 in exponential form is:

8104 = 23×10131

Prime Factorization of 8108


2 8108
2 4054
2027 2027
1

Prime factors of 8108 are 2,2027. Prime factorization of 8108 in exponential form is:

8108 = 22×20271

Now multiplying the highest exponent prime factors to calculate the LCM of 8104 and 8108.

LCM(8104,8108) = 23×10131×20271
LCM(8104,8108) = 16426808

Factors of 8104

List of positive integer factors of 8104 that divides 8104 without a remainder.

1, 2, 4, 8, 1013, 2026, 4052, 8104

Factors of 8108

List of positive integer factors of 8108 that divides 8108 without a remainder.

1, 2, 4, 2027, 4054, 8108

Least Common Multiple of 8104 and 8108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8104 and 8108, than apply into the LCM equation.

GCF(8104,8108) = 4
LCM(8104,8108) = ( 8104 × 8108) / 4
LCM(8104,8108) = 65707232 / 4
LCM(8104,8108) = 16426808

Properties of LCM 8104 and 8108

(i) The LCM of 8108 and 8104 is associative

LCM of 8104 and 8108 = LCM of 8108 and 8104

Related Least Common Multiples of 8104

Related Least Common Multiples of 8108

Frequently Asked Questions on LCM of 8104 and 8108

1. What is the LCM of 8104 and 8108?

Answer: LCM of 8104 and 8108 is 16426808.

2. What are the Factors of 8104?

Answer: Factors of 8104 are 1, 2, 4, 8, 1013, 2026, 4052, 8104. There are 8 integers that are factors of 8104. The greatest factor of 8104 is 8104.

3. What are the Factors of 8108?

Answer: Factors of 8108 are 1, 2, 4, 2027, 4054, 8108. There are 6 integers that are factors of 8108. The greatest factor of 8108 is 8108.

4. How to Find the LCM of 8104 and 8108?

Answer:

Least Common Multiple of 8104 and 8108 = 16426808

Step 1: Find the prime factorization of 8104

8104 = 2 x 2 x 2 x 1013

Step 2: Find the prime factorization of 8108

8108 = 2 x 2 x 2027

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

LCM = 16426808 = 2 x 2 x 2 x 1013 x 2027

Step 4: Therefore, the least common multiple of 8104 and 8108 is 16426808.