Least Common Multiple of 3473 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 3473 and 3481 the smallest integer that is 12089513 that is divisible by both numbers.

Least Common Multiple (LCM) of 3473 and 3481 is 12089513.

LCM(3473,3481) = 12089513

LCM of 3473 and 3481

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

LCM of:
and

Least Common Multiple of 3473 and 3481

LCM of 3473 and 3481 is 12089513

Least common multiple can be found by multiplying the highest exponent prime factors of 3473 and 3481. First we will calculate the prime factors of 3473 and 3481.

Prime Factorization of 3473


23 3473
151 151
1

Prime factors of 3473 are 23,151. Prime factorization of 3473 in exponential form is:

3473 = 231×1511

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 3473 and 3481.

LCM(3473,3481) = 231×592×1511
LCM(3473,3481) = 12089513

Factors of 3473

List of positive integer factors of 3473 that divides 3473 without a remainder.

1, 23, 151, 3473

Factors of 3481

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

1, 59, 3481

Least Common Multiple of 3473 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 3473 and 3481, than apply into the LCM equation.

GCF(3473,3481) = 1
LCM(3473,3481) = ( 3473 × 3481) / 1
LCM(3473,3481) = 12089513 / 1
LCM(3473,3481) = 12089513

Properties of LCM 3473 and 3481

(i) The LCM of 3481 and 3473 is associative

LCM of 3473 and 3481 = LCM of 3481 and 3473

Related Least Common Multiples of 3473

Related Least Common Multiples of 3481

Frequently Asked Questions on LCM of 3473 and 3481

1. What is the LCM of 3473 and 3481?

Answer: LCM of 3473 and 3481 is 12089513.

2. What are the Factors of 3473?

Answer: Factors of 3473 are 1, 23, 151, 3473. There are 4 integers that are factors of 3473. The greatest factor of 3473 is 3473.

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 3473 and 3481?

Answer:

Least Common Multiple of 3473 and 3481 = 12089513

Step 1: Find the prime factorization of 3473

3473 = 23 x 151

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 = 12089513 = 23 x 59 x 59 x 151

Step 4: Therefore, the least common multiple of 3473 and 3481 is 12089513.