Least Common Multiple of 3476 and 3482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3476 and 3482 the smallest integer that is 6051716 that is divisible by both numbers.

Least Common Multiple (LCM) of 3476 and 3482 is 6051716.

LCM(3476,3482) = 6051716

LCM of 3476 and 3482

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

LCM of:
and

Least Common Multiple of 3476 and 3482

LCM of 3476 and 3482 is 6051716

Least common multiple can be found by multiplying the highest exponent prime factors of 3476 and 3482. First we will calculate the prime factors of 3476 and 3482.

Prime Factorization of 3476


2 3476
2 1738
11 869
79 79
1

Prime factors of 3476 are 2, 11,79. Prime factorization of 3476 in exponential form is:

3476 = 22×111×791

Prime Factorization of 3482


2 3482
1741 1741
1

Prime factors of 3482 are 2,1741. Prime factorization of 3482 in exponential form is:

3482 = 21×17411

Now multiplying the highest exponent prime factors to calculate the LCM of 3476 and 3482.

LCM(3476,3482) = 22×111×791×17411
LCM(3476,3482) = 6051716

Factors of 3476

List of positive integer factors of 3476 that divides 3476 without a remainder.

1, 2, 4, 11, 22, 44, 79, 158, 316, 869, 1738, 3476

Factors of 3482

List of positive integer factors of 3482 that divides 3482 without a remainder.

1, 2, 1741, 3482

Least Common Multiple of 3476 and 3482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3476 and 3482, than apply into the LCM equation.

GCF(3476,3482) = 2
LCM(3476,3482) = ( 3476 × 3482) / 2
LCM(3476,3482) = 12103432 / 2
LCM(3476,3482) = 6051716

Properties of LCM 3476 and 3482

(i) The LCM of 3482 and 3476 is associative

LCM of 3476 and 3482 = LCM of 3482 and 3476

Related Least Common Multiples of 3476

Related Least Common Multiples of 3482

Frequently Asked Questions on LCM of 3476 and 3482

1. What is the LCM of 3476 and 3482?

Answer: LCM of 3476 and 3482 is 6051716.

2. What are the Factors of 3476?

Answer: Factors of 3476 are 1, 2, 4, 11, 22, 44, 79, 158, 316, 869, 1738, 3476. There are 12 integers that are factors of 3476. The greatest factor of 3476 is 3476.

3. What are the Factors of 3482?

Answer: Factors of 3482 are 1, 2, 1741, 3482. There are 4 integers that are factors of 3482. The greatest factor of 3482 is 3482.

4. How to Find the LCM of 3476 and 3482?

Answer:

Least Common Multiple of 3476 and 3482 = 6051716

Step 1: Find the prime factorization of 3476

3476 = 2 x 2 x 11 x 79

Step 2: Find the prime factorization of 3482

3482 = 2 x 1741

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

LCM = 6051716 = 2 x 2 x 11 x 79 x 1741

Step 4: Therefore, the least common multiple of 3476 and 3482 is 6051716.