Least Common Multiple of 104 and 111

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 111 the smallest integer that is 11544 that is divisible by both numbers.

Least Common Multiple (LCM) of 104 and 111 is 11544.

LCM(104,111) = 11544

LCM of 104 and 111

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

LCM of:
and

Least Common Multiple of 104 and 111

LCM of 104 and 111 is 11544

Least common multiple can be found by multiplying the highest exponent prime factors of 104 and 111. First we will calculate the prime factors of 104 and 111.

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 111


3 111
37 37
1

Prime factors of 111 are 3,37. Prime factorization of 111 in exponential form is:

111 = 31×371

Now multiplying the highest exponent prime factors to calculate the LCM of 104 and 111.

LCM(104,111) = 23×31×131×371
LCM(104,111) = 11544

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 111

List of positive integer factors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Least Common Multiple of 104 and 111 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 111, than apply into the LCM equation.

GCF(104,111) = 1
LCM(104,111) = ( 104 × 111) / 1
LCM(104,111) = 11544 / 1
LCM(104,111) = 11544

Properties of LCM 104 and 111

(i) The LCM of 111 and 104 is associative

LCM of 104 and 111 = LCM of 111 and 104

Related Least Common Multiples of 104

Related Least Common Multiples of 111

Frequently Asked Questions on LCM of 104 and 111

1. What is the LCM of 104 and 111?

Answer: LCM of 104 and 111 is 11544.

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 111?

Answer: Factors of 111 are 1, 3, 37, 111. There are 4 integers that are factors of 111. The greatest factor of 111 is 111.

4. How to Find the LCM of 104 and 111?

Answer:

Least Common Multiple of 104 and 111 = 11544

Step 1: Find the prime factorization of 104

104 = 2 x 2 x 2 x 13

Step 2: Find the prime factorization of 111

111 = 3 x 37

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

LCM = 11544 = 2 x 2 x 2 x 3 x 13 x 37

Step 4: Therefore, the least common multiple of 104 and 111 is 11544.