Least Common Multiple of 4097 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 4097 and 4104 the smallest integer that is 16814088 that is divisible by both numbers.

Least Common Multiple (LCM) of 4097 and 4104 is 16814088.

LCM(4097,4104) = 16814088

LCM of 4097 and 4104

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

LCM of:
and

Least Common Multiple of 4097 and 4104

LCM of 4097 and 4104 is 16814088

Least common multiple can be found by multiplying the highest exponent prime factors of 4097 and 4104. First we will calculate the prime factors of 4097 and 4104.

Prime Factorization of 4097


17 4097
241 241
1

Prime factors of 4097 are 17,241. Prime factorization of 4097 in exponential form is:

4097 = 171×2411

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 4097 and 4104.

LCM(4097,4104) = 23×33×171×191×2411
LCM(4097,4104) = 16814088

Factors of 4097

List of positive integer factors of 4097 that divides 4097 without a remainder.

1, 17, 241, 4097

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 4097 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 4097 and 4104, than apply into the LCM equation.

GCF(4097,4104) = 1
LCM(4097,4104) = ( 4097 × 4104) / 1
LCM(4097,4104) = 16814088 / 1
LCM(4097,4104) = 16814088

Properties of LCM 4097 and 4104

(i) The LCM of 4104 and 4097 is associative

LCM of 4097 and 4104 = LCM of 4104 and 4097

Related Least Common Multiples of 4097

Related Least Common Multiples of 4104

Frequently Asked Questions on LCM of 4097 and 4104

1. What is the LCM of 4097 and 4104?

Answer: LCM of 4097 and 4104 is 16814088.

2. What are the Factors of 4097?

Answer: Factors of 4097 are 1, 17, 241, 4097. There are 4 integers that are factors of 4097. The greatest factor of 4097 is 4097.

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 4097 and 4104?

Answer:

Least Common Multiple of 4097 and 4104 = 16814088

Step 1: Find the prime factorization of 4097

4097 = 17 x 241

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 = 16814088 = 2 x 2 x 2 x 3 x 3 x 3 x 17 x 19 x 241

Step 4: Therefore, the least common multiple of 4097 and 4104 is 16814088.