Least Common Multiple of 4099 and 4104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4099 and 4104 the smallest integer that is 16822296 that is divisible by both numbers.

Least Common Multiple (LCM) of 4099 and 4104 is 16822296.

LCM(4099,4104) = 16822296

LCM of 4099 and 4104

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

LCM of:
and

Least Common Multiple of 4099 and 4104

LCM of 4099 and 4104 is 16822296

Least common multiple can be found by multiplying the highest exponent prime factors of 4099 and 4104. First we will calculate the prime factors of 4099 and 4104.

Prime Factorization of 4099


4099 4099
1

Prime factors of 4099 are 4099. Prime factorization of 4099 in exponential form is:

4099 = 40991

Prime Factorization of 4104


2 4104
2 2052
2 1026
3 513
3 171
3 57
19 19
1

Prime factors of 4104 are 2, 3,19. Prime factorization of 4104 in exponential form is:

4104 = 23×33×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4099 and 4104.

LCM(4099,4104) = 23×33×191×40991
LCM(4099,4104) = 16822296

Factors of 4099

List of positive integer factors of 4099 that divides 4099 without a remainder.

1, 4099

Factors of 4104

List of positive integer factors of 4104 that divides 4104 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 108, 114, 152, 171, 216, 228, 342, 456, 513, 684, 1026, 1368, 2052, 4104

Least Common Multiple of 4099 and 4104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4099 and 4104, than apply into the LCM equation.

GCF(4099,4104) = 1
LCM(4099,4104) = ( 4099 × 4104) / 1
LCM(4099,4104) = 16822296 / 1
LCM(4099,4104) = 16822296

Properties of LCM 4099 and 4104

(i) The LCM of 4104 and 4099 is associative

LCM of 4099 and 4104 = LCM of 4104 and 4099

Related Least Common Multiples of 4099

Related Least Common Multiples of 4104

Frequently Asked Questions on LCM of 4099 and 4104

1. What is the LCM of 4099 and 4104?

Answer: LCM of 4099 and 4104 is 16822296.

2. What are the Factors of 4099?

Answer: Factors of 4099 are 1, 4099. There are 2 integers that are factors of 4099. The greatest factor of 4099 is 4099.

3. What are the Factors of 4104?

Answer: Factors of 4104 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 108, 114, 152, 171, 216, 228, 342, 456, 513, 684, 1026, 1368, 2052, 4104. There are 32 integers that are factors of 4104. The greatest factor of 4104 is 4104.

4. How to Find the LCM of 4099 and 4104?

Answer:

Least Common Multiple of 4099 and 4104 = 16822296

Step 1: Find the prime factorization of 4099

4099 = 4099

Step 2: Find the prime factorization of 4104

4104 = 2 x 2 x 2 x 3 x 3 x 3 x 19

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

LCM = 16822296 = 2 x 2 x 2 x 3 x 3 x 3 x 19 x 4099

Step 4: Therefore, the least common multiple of 4099 and 4104 is 16822296.