Least Common Multiple of 1099 and 1104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1099 and 1104 the smallest integer that is 1213296 that is divisible by both numbers.

Least Common Multiple (LCM) of 1099 and 1104 is 1213296.

LCM(1099,1104) = 1213296

LCM of 1099 and 1104

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

LCM of:
and

Least Common Multiple of 1099 and 1104

LCM of 1099 and 1104 is 1213296

Least common multiple can be found by multiplying the highest exponent prime factors of 1099 and 1104. First we will calculate the prime factors of 1099 and 1104.

Prime Factorization of 1099


7 1099
157 157
1

Prime factors of 1099 are 7,157. Prime factorization of 1099 in exponential form is:

1099 = 71×1571

Prime Factorization of 1104


2 1104
2 552
2 276
2 138
3 69
23 23
1

Prime factors of 1104 are 2, 3,23. Prime factorization of 1104 in exponential form is:

1104 = 24×31×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1099 and 1104.

LCM(1099,1104) = 24×31×71×231×1571
LCM(1099,1104) = 1213296

Factors of 1099

List of positive integer factors of 1099 that divides 1099 without a remainder.

1, 7, 157, 1099

Factors of 1104

List of positive integer factors of 1104 that divides 1104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184, 276, 368, 552, 1104

Least Common Multiple of 1099 and 1104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1099 and 1104, than apply into the LCM equation.

GCF(1099,1104) = 1
LCM(1099,1104) = ( 1099 × 1104) / 1
LCM(1099,1104) = 1213296 / 1
LCM(1099,1104) = 1213296

Properties of LCM 1099 and 1104

(i) The LCM of 1104 and 1099 is associative

LCM of 1099 and 1104 = LCM of 1104 and 1099

Related Least Common Multiples of 1099

Related Least Common Multiples of 1104

Frequently Asked Questions on LCM of 1099 and 1104

1. What is the LCM of 1099 and 1104?

Answer: LCM of 1099 and 1104 is 1213296.

2. What are the Factors of 1099?

Answer: Factors of 1099 are 1, 7, 157, 1099. There are 4 integers that are factors of 1099. The greatest factor of 1099 is 1099.

3. What are the Factors of 1104?

Answer: Factors of 1104 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184, 276, 368, 552, 1104. There are 20 integers that are factors of 1104. The greatest factor of 1104 is 1104.

4. How to Find the LCM of 1099 and 1104?

Answer:

Least Common Multiple of 1099 and 1104 = 1213296

Step 1: Find the prime factorization of 1099

1099 = 7 x 157

Step 2: Find the prime factorization of 1104

1104 = 2 x 2 x 2 x 2 x 3 x 23

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

LCM = 1213296 = 2 x 2 x 2 x 2 x 3 x 7 x 23 x 157

Step 4: Therefore, the least common multiple of 1099 and 1104 is 1213296.