Least Common Multiple of 3084 and 3089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3084 and 3089 the smallest integer that is 9526476 that is divisible by both numbers.

Least Common Multiple (LCM) of 3084 and 3089 is 9526476.

LCM(3084,3089) = 9526476

LCM of 3084 and 3089

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

LCM of:
and

Least Common Multiple of 3084 and 3089

LCM of 3084 and 3089 is 9526476

Least common multiple can be found by multiplying the highest exponent prime factors of 3084 and 3089. First we will calculate the prime factors of 3084 and 3089.

Prime Factorization of 3084


2 3084
2 1542
3 771
257 257
1

Prime factors of 3084 are 2, 3,257. Prime factorization of 3084 in exponential form is:

3084 = 22×31×2571

Prime Factorization of 3089


3089 3089
1

Prime factors of 3089 are 3089. Prime factorization of 3089 in exponential form is:

3089 = 30891

Now multiplying the highest exponent prime factors to calculate the LCM of 3084 and 3089.

LCM(3084,3089) = 22×31×2571×30891
LCM(3084,3089) = 9526476

Factors of 3084

List of positive integer factors of 3084 that divides 3084 without a remainder.

1, 2, 3, 4, 6, 12, 257, 514, 771, 1028, 1542, 3084

Factors of 3089

List of positive integer factors of 3089 that divides 3089 without a remainder.

1, 3089

Least Common Multiple of 3084 and 3089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3084 and 3089, than apply into the LCM equation.

GCF(3084,3089) = 1
LCM(3084,3089) = ( 3084 × 3089) / 1
LCM(3084,3089) = 9526476 / 1
LCM(3084,3089) = 9526476

Properties of LCM 3084 and 3089

(i) The LCM of 3089 and 3084 is associative

LCM of 3084 and 3089 = LCM of 3089 and 3084

Related Least Common Multiples of 3084

Related Least Common Multiples of 3089

Frequently Asked Questions on LCM of 3084 and 3089

1. What is the LCM of 3084 and 3089?

Answer: LCM of 3084 and 3089 is 9526476.

2. What are the Factors of 3084?

Answer: Factors of 3084 are 1, 2, 3, 4, 6, 12, 257, 514, 771, 1028, 1542, 3084. There are 12 integers that are factors of 3084. The greatest factor of 3084 is 3084.

3. What are the Factors of 3089?

Answer: Factors of 3089 are 1, 3089. There are 2 integers that are factors of 3089. The greatest factor of 3089 is 3089.

4. How to Find the LCM of 3084 and 3089?

Answer:

Least Common Multiple of 3084 and 3089 = 9526476

Step 1: Find the prime factorization of 3084

3084 = 2 x 2 x 3 x 257

Step 2: Find the prime factorization of 3089

3089 = 3089

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

LCM = 9526476 = 2 x 2 x 3 x 257 x 3089

Step 4: Therefore, the least common multiple of 3084 and 3089 is 9526476.