Least Common Multiple of 8104 and 8111

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 8111 the smallest integer that is 65731544 that is divisible by both numbers.

Least Common Multiple (LCM) of 8104 and 8111 is 65731544.

LCM(8104,8111) = 65731544

LCM of 8104 and 8111

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

LCM of:
and

Least Common Multiple of 8104 and 8111

LCM of 8104 and 8111 is 65731544

Least common multiple can be found by multiplying the highest exponent prime factors of 8104 and 8111. First we will calculate the prime factors of 8104 and 8111.

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 8111


8111 8111
1

Prime factors of 8111 are 8111. Prime factorization of 8111 in exponential form is:

8111 = 81111

Now multiplying the highest exponent prime factors to calculate the LCM of 8104 and 8111.

LCM(8104,8111) = 23×10131×81111
LCM(8104,8111) = 65731544

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 8111

List of positive integer factors of 8111 that divides 8111 without a remainder.

1, 8111

Least Common Multiple of 8104 and 8111 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 8111, than apply into the LCM equation.

GCF(8104,8111) = 1
LCM(8104,8111) = ( 8104 × 8111) / 1
LCM(8104,8111) = 65731544 / 1
LCM(8104,8111) = 65731544

Properties of LCM 8104 and 8111

(i) The LCM of 8111 and 8104 is associative

LCM of 8104 and 8111 = LCM of 8111 and 8104

Related Least Common Multiples of 8104

Related Least Common Multiples of 8111

Frequently Asked Questions on LCM of 8104 and 8111

1. What is the LCM of 8104 and 8111?

Answer: LCM of 8104 and 8111 is 65731544.

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 8111?

Answer: Factors of 8111 are 1, 8111. There are 2 integers that are factors of 8111. The greatest factor of 8111 is 8111.

4. How to Find the LCM of 8104 and 8111?

Answer:

Least Common Multiple of 8104 and 8111 = 65731544

Step 1: Find the prime factorization of 8104

8104 = 2 x 2 x 2 x 1013

Step 2: Find the prime factorization of 8111

8111 = 8111

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

LCM = 65731544 = 2 x 2 x 2 x 1013 x 8111

Step 4: Therefore, the least common multiple of 8104 and 8111 is 65731544.