Least Common Multiple of 4089 and 4096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4089 and 4096 the smallest integer that is 16748544 that is divisible by both numbers.

Least Common Multiple (LCM) of 4089 and 4096 is 16748544.

LCM(4089,4096) = 16748544

LCM of 4089 and 4096

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

LCM of:
and

Least Common Multiple of 4089 and 4096

LCM of 4089 and 4096 is 16748544

Least common multiple can be found by multiplying the highest exponent prime factors of 4089 and 4096. First we will calculate the prime factors of 4089 and 4096.

Prime Factorization of 4089


3 4089
29 1363
47 47
1

Prime factors of 4089 are 3, 29,47. Prime factorization of 4089 in exponential form is:

4089 = 31×291×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4089 and 4096.

LCM(4089,4096) = 212×31×291×471
LCM(4089,4096) = 16748544

Factors of 4089

List of positive integer factors of 4089 that divides 4089 without a remainder.

1, 3, 29, 47, 87, 141, 1363, 4089

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

Least Common Multiple of 4089 and 4096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4089 and 4096, than apply into the LCM equation.

GCF(4089,4096) = 1
LCM(4089,4096) = ( 4089 × 4096) / 1
LCM(4089,4096) = 16748544 / 1
LCM(4089,4096) = 16748544

Properties of LCM 4089 and 4096

(i) The LCM of 4096 and 4089 is associative

LCM of 4089 and 4096 = LCM of 4096 and 4089

Related Least Common Multiples of 4089

Related Least Common Multiples of 4096

Frequently Asked Questions on LCM of 4089 and 4096

1. What is the LCM of 4089 and 4096?

Answer: LCM of 4089 and 4096 is 16748544.

2. What are the Factors of 4089?

Answer: Factors of 4089 are 1, 3, 29, 47, 87, 141, 1363, 4089. There are 8 integers that are factors of 4089. The greatest factor of 4089 is 4089.

3. 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.

4. How to Find the LCM of 4089 and 4096?

Answer:

Least Common Multiple of 4089 and 4096 = 16748544

Step 1: Find the prime factorization of 4089

4089 = 3 x 29 x 47

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 16748544 = 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 29 x 47

Step 4: Therefore, the least common multiple of 4089 and 4096 is 16748544.