Least Common Multiple of 4096 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 4096 and 4104 the smallest integer that is 2101248 that is divisible by both numbers.

Least Common Multiple (LCM) of 4096 and 4104 is 2101248.

LCM(4096,4104) = 2101248

LCM of 4096 and 4104

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

LCM of:
and

Least Common Multiple of 4096 and 4104

LCM of 4096 and 4104 is 2101248

Least common multiple can be found by multiplying the highest exponent prime factors of 4096 and 4104. First we will calculate the prime factors of 4096 and 4104.

Prime Factorization of 4096


2 4096
2 2048
2 1024
2 512
2 256
2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 4096 are 2. Prime factorization of 4096 in exponential form is:

4096 = 212

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 4096 and 4104.

LCM(4096,4104) = 212×33×191
LCM(4096,4104) = 2101248

Factors of 4096

List of positive integer factors of 4096 that divides 4096 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096

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 4096 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 4096 and 4104, than apply into the LCM equation.

GCF(4096,4104) = 8
LCM(4096,4104) = ( 4096 × 4104) / 8
LCM(4096,4104) = 16809984 / 8
LCM(4096,4104) = 2101248

Properties of LCM 4096 and 4104

(i) The LCM of 4104 and 4096 is associative

LCM of 4096 and 4104 = LCM of 4104 and 4096

Related Least Common Multiples of 4096

Related Least Common Multiples of 4104

Frequently Asked Questions on LCM of 4096 and 4104

1. What is the LCM of 4096 and 4104?

Answer: LCM of 4096 and 4104 is 2101248.

2. What are the Factors of 4096?

Answer: Factors of 4096 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096. There are 13 integers that are factors of 4096. The greatest factor of 4096 is 4096.

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 4096 and 4104?

Answer:

Least Common Multiple of 4096 and 4104 = 2101248

Step 1: Find the prime factorization of 4096

4096 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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 = 2101248 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 19

Step 4: Therefore, the least common multiple of 4096 and 4104 is 2101248.