Least Common Multiple of 4089 and 4092

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 4092 the smallest integer that is 5577396 that is divisible by both numbers.

Least Common Multiple (LCM) of 4089 and 4092 is 5577396.

LCM(4089,4092) = 5577396

LCM of 4089 and 4092

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

LCM of:
and

Least Common Multiple of 4089 and 4092

LCM of 4089 and 4092 is 5577396

Least common multiple can be found by multiplying the highest exponent prime factors of 4089 and 4092. First we will calculate the prime factors of 4089 and 4092.

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 4092


2 4092
2 2046
3 1023
11 341
31 31
1

Prime factors of 4092 are 2, 3, 11,31. Prime factorization of 4092 in exponential form is:

4092 = 22×31×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4089 and 4092.

LCM(4089,4092) = 22×31×111×291×311×471
LCM(4089,4092) = 5577396

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 4092

List of positive integer factors of 4092 that divides 4092 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 4092

Least Common Multiple of 4089 and 4092 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 4092, than apply into the LCM equation.

GCF(4089,4092) = 3
LCM(4089,4092) = ( 4089 × 4092) / 3
LCM(4089,4092) = 16732188 / 3
LCM(4089,4092) = 5577396

Properties of LCM 4089 and 4092

(i) The LCM of 4092 and 4089 is associative

LCM of 4089 and 4092 = LCM of 4092 and 4089

Related Least Common Multiples of 4089

Related Least Common Multiples of 4092

Frequently Asked Questions on LCM of 4089 and 4092

1. What is the LCM of 4089 and 4092?

Answer: LCM of 4089 and 4092 is 5577396.

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 4092?

Answer: Factors of 4092 are 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 4092. There are 24 integers that are factors of 4092. The greatest factor of 4092 is 4092.

4. How to Find the LCM of 4089 and 4092?

Answer:

Least Common Multiple of 4089 and 4092 = 5577396

Step 1: Find the prime factorization of 4089

4089 = 3 x 29 x 47

Step 2: Find the prime factorization of 4092

4092 = 2 x 2 x 3 x 11 x 31

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

LCM = 5577396 = 2 x 2 x 3 x 11 x 29 x 31 x 47

Step 4: Therefore, the least common multiple of 4089 and 4092 is 5577396.