Least Common Multiple of 2463 and 2470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2463 and 2470 the smallest integer that is 6083610 that is divisible by both numbers.

Least Common Multiple (LCM) of 2463 and 2470 is 6083610.

LCM(2463,2470) = 6083610

LCM of 2463 and 2470

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

LCM of:
and

Least Common Multiple of 2463 and 2470

LCM of 2463 and 2470 is 6083610

Least common multiple can be found by multiplying the highest exponent prime factors of 2463 and 2470. First we will calculate the prime factors of 2463 and 2470.

Prime Factorization of 2463


3 2463
821 821
1

Prime factors of 2463 are 3,821. Prime factorization of 2463 in exponential form is:

2463 = 31×8211

Prime Factorization of 2470


2 2470
5 1235
13 247
19 19
1

Prime factors of 2470 are 2, 5, 13,19. Prime factorization of 2470 in exponential form is:

2470 = 21×51×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2463 and 2470.

LCM(2463,2470) = 21×31×51×131×191×8211
LCM(2463,2470) = 6083610

Factors of 2463

List of positive integer factors of 2463 that divides 2463 without a remainder.

1, 3, 821, 2463

Factors of 2470

List of positive integer factors of 2470 that divides 2470 without a remainder.

1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470

Least Common Multiple of 2463 and 2470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2463 and 2470, than apply into the LCM equation.

GCF(2463,2470) = 1
LCM(2463,2470) = ( 2463 × 2470) / 1
LCM(2463,2470) = 6083610 / 1
LCM(2463,2470) = 6083610

Properties of LCM 2463 and 2470

(i) The LCM of 2470 and 2463 is associative

LCM of 2463 and 2470 = LCM of 2470 and 2463

Related Least Common Multiples of 2463

Related Least Common Multiples of 2470

Frequently Asked Questions on LCM of 2463 and 2470

1. What is the LCM of 2463 and 2470?

Answer: LCM of 2463 and 2470 is 6083610.

2. What are the Factors of 2463?

Answer: Factors of 2463 are 1, 3, 821, 2463. There are 4 integers that are factors of 2463. The greatest factor of 2463 is 2463.

3. What are the Factors of 2470?

Answer: Factors of 2470 are 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470. There are 16 integers that are factors of 2470. The greatest factor of 2470 is 2470.

4. How to Find the LCM of 2463 and 2470?

Answer:

Least Common Multiple of 2463 and 2470 = 6083610

Step 1: Find the prime factorization of 2463

2463 = 3 x 821

Step 2: Find the prime factorization of 2470

2470 = 2 x 5 x 13 x 19

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

LCM = 6083610 = 2 x 3 x 5 x 13 x 19 x 821

Step 4: Therefore, the least common multiple of 2463 and 2470 is 6083610.