Least Common Multiple of 3476 and 3481

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 3481 the smallest integer that is 12099956 that is divisible by both numbers.

Least Common Multiple (LCM) of 3476 and 3481 is 12099956.

LCM(3476,3481) = 12099956

LCM of 3476 and 3481

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

LCM of:
and

Least Common Multiple of 3476 and 3481

LCM of 3476 and 3481 is 12099956

Least common multiple can be found by multiplying the highest exponent prime factors of 3476 and 3481. First we will calculate the prime factors of 3476 and 3481.

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 3481


59 3481
59 59
1

Prime factors of 3481 are 59. Prime factorization of 3481 in exponential form is:

3481 = 592

Now multiplying the highest exponent prime factors to calculate the LCM of 3476 and 3481.

LCM(3476,3481) = 22×111×592×791
LCM(3476,3481) = 12099956

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 3481

List of positive integer factors of 3481 that divides 3481 without a remainder.

1, 59, 3481

Least Common Multiple of 3476 and 3481 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 3481, than apply into the LCM equation.

GCF(3476,3481) = 1
LCM(3476,3481) = ( 3476 × 3481) / 1
LCM(3476,3481) = 12099956 / 1
LCM(3476,3481) = 12099956

Properties of LCM 3476 and 3481

(i) The LCM of 3481 and 3476 is associative

LCM of 3476 and 3481 = LCM of 3481 and 3476

Related Least Common Multiples of 3476

Related Least Common Multiples of 3481

Frequently Asked Questions on LCM of 3476 and 3481

1. What is the LCM of 3476 and 3481?

Answer: LCM of 3476 and 3481 is 12099956.

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 3481?

Answer: Factors of 3481 are 1, 59, 3481. There are 3 integers that are factors of 3481. The greatest factor of 3481 is 3481.

4. How to Find the LCM of 3476 and 3481?

Answer:

Least Common Multiple of 3476 and 3481 = 12099956

Step 1: Find the prime factorization of 3476

3476 = 2 x 2 x 11 x 79

Step 2: Find the prime factorization of 3481

3481 = 59 x 59

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

LCM = 12099956 = 2 x 2 x 11 x 59 x 59 x 79

Step 4: Therefore, the least common multiple of 3476 and 3481 is 12099956.