Least Common Multiple of 2481 and 2487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2481 and 2487 the smallest integer that is 2056749 that is divisible by both numbers.

Least Common Multiple (LCM) of 2481 and 2487 is 2056749.

LCM(2481,2487) = 2056749

LCM of 2481 and 2487

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

LCM of:
and

Least Common Multiple of 2481 and 2487

LCM of 2481 and 2487 is 2056749

Least common multiple can be found by multiplying the highest exponent prime factors of 2481 and 2487. First we will calculate the prime factors of 2481 and 2487.

Prime Factorization of 2481


3 2481
827 827
1

Prime factors of 2481 are 3,827. Prime factorization of 2481 in exponential form is:

2481 = 31×8271

Prime Factorization of 2487


3 2487
829 829
1

Prime factors of 2487 are 3,829. Prime factorization of 2487 in exponential form is:

2487 = 31×8291

Now multiplying the highest exponent prime factors to calculate the LCM of 2481 and 2487.

LCM(2481,2487) = 31×8271×8291
LCM(2481,2487) = 2056749

Factors of 2481

List of positive integer factors of 2481 that divides 2481 without a remainder.

1, 3, 827, 2481

Factors of 2487

List of positive integer factors of 2487 that divides 2487 without a remainder.

1, 3, 829, 2487

Least Common Multiple of 2481 and 2487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2481 and 2487, than apply into the LCM equation.

GCF(2481,2487) = 3
LCM(2481,2487) = ( 2481 × 2487) / 3
LCM(2481,2487) = 6170247 / 3
LCM(2481,2487) = 2056749

Properties of LCM 2481 and 2487

(i) The LCM of 2487 and 2481 is associative

LCM of 2481 and 2487 = LCM of 2487 and 2481

Related Least Common Multiples of 2481

Related Least Common Multiples of 2487

Frequently Asked Questions on LCM of 2481 and 2487

1. What is the LCM of 2481 and 2487?

Answer: LCM of 2481 and 2487 is 2056749.

2. What are the Factors of 2481?

Answer: Factors of 2481 are 1, 3, 827, 2481. There are 4 integers that are factors of 2481. The greatest factor of 2481 is 2481.

3. What are the Factors of 2487?

Answer: Factors of 2487 are 1, 3, 829, 2487. There are 4 integers that are factors of 2487. The greatest factor of 2487 is 2487.

4. How to Find the LCM of 2481 and 2487?

Answer:

Least Common Multiple of 2481 and 2487 = 2056749

Step 1: Find the prime factorization of 2481

2481 = 3 x 827

Step 2: Find the prime factorization of 2487

2487 = 3 x 829

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

LCM = 2056749 = 3 x 827 x 829

Step 4: Therefore, the least common multiple of 2481 and 2487 is 2056749.