Least Common Multiple of 3484 and 3489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3484 and 3489 the smallest integer that is 12155676 that is divisible by both numbers.

Least Common Multiple (LCM) of 3484 and 3489 is 12155676.

LCM(3484,3489) = 12155676

LCM of 3484 and 3489

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

LCM of:
and

Least Common Multiple of 3484 and 3489

LCM of 3484 and 3489 is 12155676

Least common multiple can be found by multiplying the highest exponent prime factors of 3484 and 3489. First we will calculate the prime factors of 3484 and 3489.

Prime Factorization of 3484


2 3484
2 1742
13 871
67 67
1

Prime factors of 3484 are 2, 13,67. Prime factorization of 3484 in exponential form is:

3484 = 22×131×671

Prime Factorization of 3489


3 3489
1163 1163
1

Prime factors of 3489 are 3,1163. Prime factorization of 3489 in exponential form is:

3489 = 31×11631

Now multiplying the highest exponent prime factors to calculate the LCM of 3484 and 3489.

LCM(3484,3489) = 22×31×131×671×11631
LCM(3484,3489) = 12155676

Factors of 3484

List of positive integer factors of 3484 that divides 3484 without a remainder.

1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742, 3484

Factors of 3489

List of positive integer factors of 3489 that divides 3489 without a remainder.

1, 3, 1163, 3489

Least Common Multiple of 3484 and 3489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3484 and 3489, than apply into the LCM equation.

GCF(3484,3489) = 1
LCM(3484,3489) = ( 3484 × 3489) / 1
LCM(3484,3489) = 12155676 / 1
LCM(3484,3489) = 12155676

Properties of LCM 3484 and 3489

(i) The LCM of 3489 and 3484 is associative

LCM of 3484 and 3489 = LCM of 3489 and 3484

Related Least Common Multiples of 3484

Related Least Common Multiples of 3489

Frequently Asked Questions on LCM of 3484 and 3489

1. What is the LCM of 3484 and 3489?

Answer: LCM of 3484 and 3489 is 12155676.

2. What are the Factors of 3484?

Answer: Factors of 3484 are 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742, 3484. There are 12 integers that are factors of 3484. The greatest factor of 3484 is 3484.

3. What are the Factors of 3489?

Answer: Factors of 3489 are 1, 3, 1163, 3489. There are 4 integers that are factors of 3489. The greatest factor of 3489 is 3489.

4. How to Find the LCM of 3484 and 3489?

Answer:

Least Common Multiple of 3484 and 3489 = 12155676

Step 1: Find the prime factorization of 3484

3484 = 2 x 2 x 13 x 67

Step 2: Find the prime factorization of 3489

3489 = 3 x 1163

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

LCM = 12155676 = 2 x 2 x 3 x 13 x 67 x 1163

Step 4: Therefore, the least common multiple of 3484 and 3489 is 12155676.