Least Common Multiple of 481 and 487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 481 and 487 the smallest integer that is 234247 that is divisible by both numbers.

Least Common Multiple (LCM) of 481 and 487 is 234247.

LCM(481,487) = 234247

LCM of 481 and 487

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

LCM of:
and

Least Common Multiple of 481 and 487

LCM of 481 and 487 is 234247

Least common multiple can be found by multiplying the highest exponent prime factors of 481 and 487. First we will calculate the prime factors of 481 and 487.

Prime Factorization of 481


13 481
37 37
1

Prime factors of 481 are 13,37. Prime factorization of 481 in exponential form is:

481 = 131×371

Prime Factorization of 487


487 487
1

Prime factors of 487 are 487. Prime factorization of 487 in exponential form is:

487 = 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 481 and 487.

LCM(481,487) = 131×371×4871
LCM(481,487) = 234247

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1, 487

Least Common Multiple of 481 and 487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 481 and 487, than apply into the LCM equation.

GCF(481,487) = 1
LCM(481,487) = ( 481 × 487) / 1
LCM(481,487) = 234247 / 1
LCM(481,487) = 234247

Properties of LCM 481 and 487

(i) The LCM of 487 and 481 is associative

LCM of 481 and 487 = LCM of 487 and 481

Related Least Common Multiples of 481

Related Least Common Multiples of 487

Frequently Asked Questions on LCM of 481 and 487

1. What is the LCM of 481 and 487?

Answer: LCM of 481 and 487 is 234247.

2. What are the Factors of 481?

Answer: Factors of 481 are 1, 13, 37, 481. There are 4 integers that are factors of 481. The greatest factor of 481 is 481.

3. What are the Factors of 487?

Answer: Factors of 487 are 1, 487. There are 2 integers that are factors of 487. The greatest factor of 487 is 487.

4. How to Find the LCM of 481 and 487?

Answer:

Least Common Multiple of 481 and 487 = 234247

Step 1: Find the prime factorization of 481

481 = 13 x 37

Step 2: Find the prime factorization of 487

487 = 487

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

LCM = 234247 = 13 x 37 x 487

Step 4: Therefore, the least common multiple of 481 and 487 is 234247.