Least Common Multiple of 3484 and 3490

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 3490 the smallest integer that is 6079580 that is divisible by both numbers.

Least Common Multiple (LCM) of 3484 and 3490 is 6079580.

LCM(3484,3490) = 6079580

LCM of 3484 and 3490

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

LCM of:
and

Least Common Multiple of 3484 and 3490

LCM of 3484 and 3490 is 6079580

Least common multiple can be found by multiplying the highest exponent prime factors of 3484 and 3490. First we will calculate the prime factors of 3484 and 3490.

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 3490


2 3490
5 1745
349 349
1

Prime factors of 3490 are 2, 5,349. Prime factorization of 3490 in exponential form is:

3490 = 21×51×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 3484 and 3490.

LCM(3484,3490) = 22×51×131×671×3491
LCM(3484,3490) = 6079580

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 3490

List of positive integer factors of 3490 that divides 3490 without a remainder.

1, 2, 5, 10, 349, 698, 1745, 3490

Least Common Multiple of 3484 and 3490 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 3490, than apply into the LCM equation.

GCF(3484,3490) = 2
LCM(3484,3490) = ( 3484 × 3490) / 2
LCM(3484,3490) = 12159160 / 2
LCM(3484,3490) = 6079580

Properties of LCM 3484 and 3490

(i) The LCM of 3490 and 3484 is associative

LCM of 3484 and 3490 = LCM of 3490 and 3484

Related Least Common Multiples of 3484

Related Least Common Multiples of 3490

Frequently Asked Questions on LCM of 3484 and 3490

1. What is the LCM of 3484 and 3490?

Answer: LCM of 3484 and 3490 is 6079580.

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 3490?

Answer: Factors of 3490 are 1, 2, 5, 10, 349, 698, 1745, 3490. There are 8 integers that are factors of 3490. The greatest factor of 3490 is 3490.

4. How to Find the LCM of 3484 and 3490?

Answer:

Least Common Multiple of 3484 and 3490 = 6079580

Step 1: Find the prime factorization of 3484

3484 = 2 x 2 x 13 x 67

Step 2: Find the prime factorization of 3490

3490 = 2 x 5 x 349

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

LCM = 6079580 = 2 x 2 x 5 x 13 x 67 x 349

Step 4: Therefore, the least common multiple of 3484 and 3490 is 6079580.