Least Common Multiple of 2483 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 2483 and 2487 the smallest integer that is 6175221 that is divisible by both numbers.

Least Common Multiple (LCM) of 2483 and 2487 is 6175221.

LCM(2483,2487) = 6175221

LCM of 2483 and 2487

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

LCM of:
and

Least Common Multiple of 2483 and 2487

LCM of 2483 and 2487 is 6175221

Least common multiple can be found by multiplying the highest exponent prime factors of 2483 and 2487. First we will calculate the prime factors of 2483 and 2487.

Prime Factorization of 2483


13 2483
191 191
1

Prime factors of 2483 are 13,191. Prime factorization of 2483 in exponential form is:

2483 = 131×1911

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 2483 and 2487.

LCM(2483,2487) = 31×131×1911×8291
LCM(2483,2487) = 6175221

Factors of 2483

List of positive integer factors of 2483 that divides 2483 without a remainder.

1, 13, 191, 2483

Factors of 2487

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

1, 3, 829, 2487

Least Common Multiple of 2483 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 2483 and 2487, than apply into the LCM equation.

GCF(2483,2487) = 1
LCM(2483,2487) = ( 2483 × 2487) / 1
LCM(2483,2487) = 6175221 / 1
LCM(2483,2487) = 6175221

Properties of LCM 2483 and 2487

(i) The LCM of 2487 and 2483 is associative

LCM of 2483 and 2487 = LCM of 2487 and 2483

Related Least Common Multiples of 2483

Related Least Common Multiples of 2487

Frequently Asked Questions on LCM of 2483 and 2487

1. What is the LCM of 2483 and 2487?

Answer: LCM of 2483 and 2487 is 6175221.

2. What are the Factors of 2483?

Answer: Factors of 2483 are 1, 13, 191, 2483. There are 4 integers that are factors of 2483. The greatest factor of 2483 is 2483.

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 2483 and 2487?

Answer:

Least Common Multiple of 2483 and 2487 = 6175221

Step 1: Find the prime factorization of 2483

2483 = 13 x 191

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 = 6175221 = 3 x 13 x 191 x 829

Step 4: Therefore, the least common multiple of 2483 and 2487 is 6175221.