Least Common Multiple of 6089 and 6094

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6089 and 6094 the smallest integer that is 37106366 that is divisible by both numbers.

Least Common Multiple (LCM) of 6089 and 6094 is 37106366.

LCM(6089,6094) = 37106366

LCM of 6089 and 6094

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

LCM of:
and

Least Common Multiple of 6089 and 6094

LCM of 6089 and 6094 is 37106366

Least common multiple can be found by multiplying the highest exponent prime factors of 6089 and 6094. First we will calculate the prime factors of 6089 and 6094.

Prime Factorization of 6089


6089 6089
1

Prime factors of 6089 are 6089. Prime factorization of 6089 in exponential form is:

6089 = 60891

Prime Factorization of 6094


2 6094
11 3047
277 277
1

Prime factors of 6094 are 2, 11,277. Prime factorization of 6094 in exponential form is:

6094 = 21×111×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 6089 and 6094.

LCM(6089,6094) = 21×111×2771×60891
LCM(6089,6094) = 37106366

Factors of 6089

List of positive integer factors of 6089 that divides 6089 without a remainder.

1, 6089

Factors of 6094

List of positive integer factors of 6094 that divides 6094 without a remainder.

1, 2, 11, 22, 277, 554, 3047, 6094

Least Common Multiple of 6089 and 6094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6089 and 6094, than apply into the LCM equation.

GCF(6089,6094) = 1
LCM(6089,6094) = ( 6089 × 6094) / 1
LCM(6089,6094) = 37106366 / 1
LCM(6089,6094) = 37106366

Properties of LCM 6089 and 6094

(i) The LCM of 6094 and 6089 is associative

LCM of 6089 and 6094 = LCM of 6094 and 6089

Related Least Common Multiples of 6089

Related Least Common Multiples of 6094

Frequently Asked Questions on LCM of 6089 and 6094

1. What is the LCM of 6089 and 6094?

Answer: LCM of 6089 and 6094 is 37106366.

2. What are the Factors of 6089?

Answer: Factors of 6089 are 1, 6089. There are 2 integers that are factors of 6089. The greatest factor of 6089 is 6089.

3. What are the Factors of 6094?

Answer: Factors of 6094 are 1, 2, 11, 22, 277, 554, 3047, 6094. There are 8 integers that are factors of 6094. The greatest factor of 6094 is 6094.

4. How to Find the LCM of 6089 and 6094?

Answer:

Least Common Multiple of 6089 and 6094 = 37106366

Step 1: Find the prime factorization of 6089

6089 = 6089

Step 2: Find the prime factorization of 6094

6094 = 2 x 11 x 277

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

LCM = 37106366 = 2 x 11 x 277 x 6089

Step 4: Therefore, the least common multiple of 6089 and 6094 is 37106366.