Least Common Multiple of 8104 and 8109

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 8109 the smallest integer that is 65715336 that is divisible by both numbers.

Least Common Multiple (LCM) of 8104 and 8109 is 65715336.

LCM(8104,8109) = 65715336

LCM of 8104 and 8109

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

LCM of:
and

Least Common Multiple of 8104 and 8109

LCM of 8104 and 8109 is 65715336

Least common multiple can be found by multiplying the highest exponent prime factors of 8104 and 8109. First we will calculate the prime factors of 8104 and 8109.

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 8109


3 8109
3 2703
17 901
53 53
1

Prime factors of 8109 are 3, 17,53. Prime factorization of 8109 in exponential form is:

8109 = 32×171×531

Now multiplying the highest exponent prime factors to calculate the LCM of 8104 and 8109.

LCM(8104,8109) = 23×32×171×531×10131
LCM(8104,8109) = 65715336

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 8109

List of positive integer factors of 8109 that divides 8109 without a remainder.

1, 3, 9, 17, 51, 53, 153, 159, 477, 901, 2703, 8109

Least Common Multiple of 8104 and 8109 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 8109, than apply into the LCM equation.

GCF(8104,8109) = 1
LCM(8104,8109) = ( 8104 × 8109) / 1
LCM(8104,8109) = 65715336 / 1
LCM(8104,8109) = 65715336

Properties of LCM 8104 and 8109

(i) The LCM of 8109 and 8104 is associative

LCM of 8104 and 8109 = LCM of 8109 and 8104

Related Least Common Multiples of 8104

Related Least Common Multiples of 8109

Frequently Asked Questions on LCM of 8104 and 8109

1. What is the LCM of 8104 and 8109?

Answer: LCM of 8104 and 8109 is 65715336.

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 8109?

Answer: Factors of 8109 are 1, 3, 9, 17, 51, 53, 153, 159, 477, 901, 2703, 8109. There are 12 integers that are factors of 8109. The greatest factor of 8109 is 8109.

4. How to Find the LCM of 8104 and 8109?

Answer:

Least Common Multiple of 8104 and 8109 = 65715336

Step 1: Find the prime factorization of 8104

8104 = 2 x 2 x 2 x 1013

Step 2: Find the prime factorization of 8109

8109 = 3 x 3 x 17 x 53

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

LCM = 65715336 = 2 x 2 x 2 x 3 x 3 x 17 x 53 x 1013

Step 4: Therefore, the least common multiple of 8104 and 8109 is 65715336.