Least Common Multiple of 4089 and 4094

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 4094 the smallest integer that is 16740366 that is divisible by both numbers.

Least Common Multiple (LCM) of 4089 and 4094 is 16740366.

LCM(4089,4094) = 16740366

LCM of 4089 and 4094

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

LCM of:
and

Least Common Multiple of 4089 and 4094

LCM of 4089 and 4094 is 16740366

Least common multiple can be found by multiplying the highest exponent prime factors of 4089 and 4094. First we will calculate the prime factors of 4089 and 4094.

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 4094


2 4094
23 2047
89 89
1

Prime factors of 4094 are 2, 23,89. Prime factorization of 4094 in exponential form is:

4094 = 21×231×891

Now multiplying the highest exponent prime factors to calculate the LCM of 4089 and 4094.

LCM(4089,4094) = 21×31×231×291×471×891
LCM(4089,4094) = 16740366

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 4094

List of positive integer factors of 4094 that divides 4094 without a remainder.

1, 2, 23, 46, 89, 178, 2047, 4094

Least Common Multiple of 4089 and 4094 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 4094, than apply into the LCM equation.

GCF(4089,4094) = 1
LCM(4089,4094) = ( 4089 × 4094) / 1
LCM(4089,4094) = 16740366 / 1
LCM(4089,4094) = 16740366

Properties of LCM 4089 and 4094

(i) The LCM of 4094 and 4089 is associative

LCM of 4089 and 4094 = LCM of 4094 and 4089

Related Least Common Multiples of 4089

Related Least Common Multiples of 4094

Frequently Asked Questions on LCM of 4089 and 4094

1. What is the LCM of 4089 and 4094?

Answer: LCM of 4089 and 4094 is 16740366.

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 4094?

Answer: Factors of 4094 are 1, 2, 23, 46, 89, 178, 2047, 4094. There are 8 integers that are factors of 4094. The greatest factor of 4094 is 4094.

4. How to Find the LCM of 4089 and 4094?

Answer:

Least Common Multiple of 4089 and 4094 = 16740366

Step 1: Find the prime factorization of 4089

4089 = 3 x 29 x 47

Step 2: Find the prime factorization of 4094

4094 = 2 x 23 x 89

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

LCM = 16740366 = 2 x 3 x 23 x 29 x 47 x 89

Step 4: Therefore, the least common multiple of 4089 and 4094 is 16740366.