Least Common Multiple of 2461 and 2467

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 2467 the smallest integer that is 6071287 that is divisible by both numbers.

Least Common Multiple (LCM) of 2461 and 2467 is 6071287.

LCM(2461,2467) = 6071287

LCM of 2461 and 2467

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

LCM of:
and

Least Common Multiple of 2461 and 2467

LCM of 2461 and 2467 is 6071287

Least common multiple can be found by multiplying the highest exponent prime factors of 2461 and 2467. First we will calculate the prime factors of 2461 and 2467.

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 2467


2467 2467
1

Prime factors of 2467 are 2467. Prime factorization of 2467 in exponential form is:

2467 = 24671

Now multiplying the highest exponent prime factors to calculate the LCM of 2461 and 2467.

LCM(2461,2467) = 231×1071×24671
LCM(2461,2467) = 6071287

Factors of 2461

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

1, 23, 107, 2461

Factors of 2467

List of positive integer factors of 2467 that divides 2467 without a remainder.

1, 2467

Least Common Multiple of 2461 and 2467 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 2467, than apply into the LCM equation.

GCF(2461,2467) = 1
LCM(2461,2467) = ( 2461 × 2467) / 1
LCM(2461,2467) = 6071287 / 1
LCM(2461,2467) = 6071287

Properties of LCM 2461 and 2467

(i) The LCM of 2467 and 2461 is associative

LCM of 2461 and 2467 = LCM of 2467 and 2461

Related Least Common Multiples of 2461

Related Least Common Multiples of 2467

Frequently Asked Questions on LCM of 2461 and 2467

1. What is the LCM of 2461 and 2467?

Answer: LCM of 2461 and 2467 is 6071287.

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 2467?

Answer: Factors of 2467 are 1, 2467. There are 2 integers that are factors of 2467. The greatest factor of 2467 is 2467.

4. How to Find the LCM of 2461 and 2467?

Answer:

Least Common Multiple of 2461 and 2467 = 6071287

Step 1: Find the prime factorization of 2461

2461 = 23 x 107

Step 2: Find the prime factorization of 2467

2467 = 2467

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

LCM = 6071287 = 23 x 107 x 2467

Step 4: Therefore, the least common multiple of 2461 and 2467 is 6071287.