Least Common Multiple of 8104 and 8110

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 8110 the smallest integer that is 32861720 that is divisible by both numbers.

Least Common Multiple (LCM) of 8104 and 8110 is 32861720.

LCM(8104,8110) = 32861720

LCM of 8104 and 8110

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

LCM of:
and

Least Common Multiple of 8104 and 8110

LCM of 8104 and 8110 is 32861720

Least common multiple can be found by multiplying the highest exponent prime factors of 8104 and 8110. First we will calculate the prime factors of 8104 and 8110.

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 8110


2 8110
5 4055
811 811
1

Prime factors of 8110 are 2, 5,811. Prime factorization of 8110 in exponential form is:

8110 = 21×51×8111

Now multiplying the highest exponent prime factors to calculate the LCM of 8104 and 8110.

LCM(8104,8110) = 23×51×8111×10131
LCM(8104,8110) = 32861720

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 8110

List of positive integer factors of 8110 that divides 8110 without a remainder.

1, 2, 5, 10, 811, 1622, 4055, 8110

Least Common Multiple of 8104 and 8110 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 8110, than apply into the LCM equation.

GCF(8104,8110) = 2
LCM(8104,8110) = ( 8104 × 8110) / 2
LCM(8104,8110) = 65723440 / 2
LCM(8104,8110) = 32861720

Properties of LCM 8104 and 8110

(i) The LCM of 8110 and 8104 is associative

LCM of 8104 and 8110 = LCM of 8110 and 8104

Related Least Common Multiples of 8104

Related Least Common Multiples of 8110

Frequently Asked Questions on LCM of 8104 and 8110

1. What is the LCM of 8104 and 8110?

Answer: LCM of 8104 and 8110 is 32861720.

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 8110?

Answer: Factors of 8110 are 1, 2, 5, 10, 811, 1622, 4055, 8110. There are 8 integers that are factors of 8110. The greatest factor of 8110 is 8110.

4. How to Find the LCM of 8104 and 8110?

Answer:

Least Common Multiple of 8104 and 8110 = 32861720

Step 1: Find the prime factorization of 8104

8104 = 2 x 2 x 2 x 1013

Step 2: Find the prime factorization of 8110

8110 = 2 x 5 x 811

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

LCM = 32861720 = 2 x 2 x 2 x 5 x 811 x 1013

Step 4: Therefore, the least common multiple of 8104 and 8110 is 32861720.