Least Common Multiple of 3481 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 3481 and 3488 the smallest integer that is 12141728 that is divisible by both numbers.

Least Common Multiple (LCM) of 3481 and 3488 is 12141728.

LCM(3481,3488) = 12141728

LCM of 3481 and 3488

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

LCM of:
and

Least Common Multiple of 3481 and 3488

LCM of 3481 and 3488 is 12141728

Least common multiple can be found by multiplying the highest exponent prime factors of 3481 and 3488. First we will calculate the prime factors of 3481 and 3488.

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

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 3481 and 3488.

LCM(3481,3488) = 25×592×1091
LCM(3481,3488) = 12141728

Factors of 3481

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

1, 59, 3481

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 3481 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 3481 and 3488, than apply into the LCM equation.

GCF(3481,3488) = 1
LCM(3481,3488) = ( 3481 × 3488) / 1
LCM(3481,3488) = 12141728 / 1
LCM(3481,3488) = 12141728

Properties of LCM 3481 and 3488

(i) The LCM of 3488 and 3481 is associative

LCM of 3481 and 3488 = LCM of 3488 and 3481

Related Least Common Multiples of 3481

Related Least Common Multiples of 3488

Frequently Asked Questions on LCM of 3481 and 3488

1. What is the LCM of 3481 and 3488?

Answer: LCM of 3481 and 3488 is 12141728.

2. 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.

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 3481 and 3488?

Answer:

Least Common Multiple of 3481 and 3488 = 12141728

Step 1: Find the prime factorization of 3481

3481 = 59 x 59

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 = 12141728 = 2 x 2 x 2 x 2 x 2 x 59 x 59 x 109

Step 4: Therefore, the least common multiple of 3481 and 3488 is 12141728.