Least Common Multiple of 3475 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 3475 and 3481 the smallest integer that is 12096475 that is divisible by both numbers.

Least Common Multiple (LCM) of 3475 and 3481 is 12096475.

LCM(3475,3481) = 12096475

LCM of 3475 and 3481

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

LCM of:
and

Least Common Multiple of 3475 and 3481

LCM of 3475 and 3481 is 12096475

Least common multiple can be found by multiplying the highest exponent prime factors of 3475 and 3481. First we will calculate the prime factors of 3475 and 3481.

Prime Factorization of 3475


5 3475
5 695
139 139
1

Prime factors of 3475 are 5,139. Prime factorization of 3475 in exponential form is:

3475 = 52×1391

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 3475 and 3481.

LCM(3475,3481) = 52×592×1391
LCM(3475,3481) = 12096475

Factors of 3475

List of positive integer factors of 3475 that divides 3475 without a remainder.

1, 5, 25, 139, 695, 3475

Factors of 3481

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

1, 59, 3481

Least Common Multiple of 3475 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 3475 and 3481, than apply into the LCM equation.

GCF(3475,3481) = 1
LCM(3475,3481) = ( 3475 × 3481) / 1
LCM(3475,3481) = 12096475 / 1
LCM(3475,3481) = 12096475

Properties of LCM 3475 and 3481

(i) The LCM of 3481 and 3475 is associative

LCM of 3475 and 3481 = LCM of 3481 and 3475

Related Least Common Multiples of 3475

Related Least Common Multiples of 3481

Frequently Asked Questions on LCM of 3475 and 3481

1. What is the LCM of 3475 and 3481?

Answer: LCM of 3475 and 3481 is 12096475.

2. What are the Factors of 3475?

Answer: Factors of 3475 are 1, 5, 25, 139, 695, 3475. There are 6 integers that are factors of 3475. The greatest factor of 3475 is 3475.

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 3475 and 3481?

Answer:

Least Common Multiple of 3475 and 3481 = 12096475

Step 1: Find the prime factorization of 3475

3475 = 5 x 5 x 139

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 = 12096475 = 5 x 5 x 59 x 59 x 139

Step 4: Therefore, the least common multiple of 3475 and 3481 is 12096475.