Least Common Multiple of 2461 and 2463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2461 and 2463 the smallest integer that is 6061443 that is divisible by both numbers.

Least Common Multiple (LCM) of 2461 and 2463 is 6061443.

LCM(2461,2463) = 6061443

LCM of 2461 and 2463

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

LCM of:
and

Least Common Multiple of 2461 and 2463

LCM of 2461 and 2463 is 6061443

Least common multiple can be found by multiplying the highest exponent prime factors of 2461 and 2463. First we will calculate the prime factors of 2461 and 2463.

Prime Factorization of 2461


23 2461
107 107
1

Prime factors of 2461 are 23,107. Prime factorization of 2461 in exponential form is:

2461 = 231×1071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2461 and 2463.

LCM(2461,2463) = 31×231×1071×8211
LCM(2461,2463) = 6061443

Factors of 2461

List of positive integer factors of 2461 that divides 2461 without a remainder.

1, 23, 107, 2461

Factors of 2463

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

1, 3, 821, 2463

Least Common Multiple of 2461 and 2463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2461 and 2463, than apply into the LCM equation.

GCF(2461,2463) = 1
LCM(2461,2463) = ( 2461 × 2463) / 1
LCM(2461,2463) = 6061443 / 1
LCM(2461,2463) = 6061443

Properties of LCM 2461 and 2463

(i) The LCM of 2463 and 2461 is associative

LCM of 2461 and 2463 = LCM of 2463 and 2461

Related Least Common Multiples of 2461

Related Least Common Multiples of 2463

Frequently Asked Questions on LCM of 2461 and 2463

1. What is the LCM of 2461 and 2463?

Answer: LCM of 2461 and 2463 is 6061443.

2. What are the Factors of 2461?

Answer: Factors of 2461 are 1, 23, 107, 2461. There are 4 integers that are factors of 2461. The greatest factor of 2461 is 2461.

3. 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.

4. How to Find the LCM of 2461 and 2463?

Answer:

Least Common Multiple of 2461 and 2463 = 6061443

Step 1: Find the prime factorization of 2461

2461 = 23 x 107

Step 2: Find the prime factorization of 2463

2463 = 3 x 821

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

LCM = 6061443 = 3 x 23 x 107 x 821

Step 4: Therefore, the least common multiple of 2461 and 2463 is 6061443.