Least Common Multiple of 3484 and 3488

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 3488 the smallest integer that is 3038048 that is divisible by both numbers.

Least Common Multiple (LCM) of 3484 and 3488 is 3038048.

LCM(3484,3488) = 3038048

LCM of 3484 and 3488

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

LCM of:
and

Least Common Multiple of 3484 and 3488

LCM of 3484 and 3488 is 3038048

Least common multiple can be found by multiplying the highest exponent prime factors of 3484 and 3488. First we will calculate the prime factors of 3484 and 3488.

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 3488


2 3488
2 1744
2 872
2 436
2 218
109 109
1

Prime factors of 3488 are 2,109. Prime factorization of 3488 in exponential form is:

3488 = 25×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 3484 and 3488.

LCM(3484,3488) = 25×131×671×1091
LCM(3484,3488) = 3038048

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 3488

List of positive integer factors of 3488 that divides 3488 without a remainder.

1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, 3488

Least Common Multiple of 3484 and 3488 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 3488, than apply into the LCM equation.

GCF(3484,3488) = 4
LCM(3484,3488) = ( 3484 × 3488) / 4
LCM(3484,3488) = 12152192 / 4
LCM(3484,3488) = 3038048

Properties of LCM 3484 and 3488

(i) The LCM of 3488 and 3484 is associative

LCM of 3484 and 3488 = LCM of 3488 and 3484

Related Least Common Multiples of 3484

Related Least Common Multiples of 3488

Frequently Asked Questions on LCM of 3484 and 3488

1. What is the LCM of 3484 and 3488?

Answer: LCM of 3484 and 3488 is 3038048.

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 3488?

Answer: Factors of 3488 are 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, 3488. There are 12 integers that are factors of 3488. The greatest factor of 3488 is 3488.

4. How to Find the LCM of 3484 and 3488?

Answer:

Least Common Multiple of 3484 and 3488 = 3038048

Step 1: Find the prime factorization of 3484

3484 = 2 x 2 x 13 x 67

Step 2: Find the prime factorization of 3488

3488 = 2 x 2 x 2 x 2 x 2 x 109

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

LCM = 3038048 = 2 x 2 x 2 x 2 x 2 x 13 x 67 x 109

Step 4: Therefore, the least common multiple of 3484 and 3488 is 3038048.