Least Common Multiple of 2461 and 2469

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 2469 the smallest integer that is 6076209 that is divisible by both numbers.

Least Common Multiple (LCM) of 2461 and 2469 is 6076209.

LCM(2461,2469) = 6076209

LCM of 2461 and 2469

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

LCM of:
and

Least Common Multiple of 2461 and 2469

LCM of 2461 and 2469 is 6076209

Least common multiple can be found by multiplying the highest exponent prime factors of 2461 and 2469. First we will calculate the prime factors of 2461 and 2469.

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 2469


3 2469
823 823
1

Prime factors of 2469 are 3,823. Prime factorization of 2469 in exponential form is:

2469 = 31×8231

Now multiplying the highest exponent prime factors to calculate the LCM of 2461 and 2469.

LCM(2461,2469) = 31×231×1071×8231
LCM(2461,2469) = 6076209

Factors of 2461

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

1, 23, 107, 2461

Factors of 2469

List of positive integer factors of 2469 that divides 2469 without a remainder.

1, 3, 823, 2469

Least Common Multiple of 2461 and 2469 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 2469, than apply into the LCM equation.

GCF(2461,2469) = 1
LCM(2461,2469) = ( 2461 × 2469) / 1
LCM(2461,2469) = 6076209 / 1
LCM(2461,2469) = 6076209

Properties of LCM 2461 and 2469

(i) The LCM of 2469 and 2461 is associative

LCM of 2461 and 2469 = LCM of 2469 and 2461

Related Least Common Multiples of 2461

Related Least Common Multiples of 2469

Frequently Asked Questions on LCM of 2461 and 2469

1. What is the LCM of 2461 and 2469?

Answer: LCM of 2461 and 2469 is 6076209.

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 2469?

Answer: Factors of 2469 are 1, 3, 823, 2469. There are 4 integers that are factors of 2469. The greatest factor of 2469 is 2469.

4. How to Find the LCM of 2461 and 2469?

Answer:

Least Common Multiple of 2461 and 2469 = 6076209

Step 1: Find the prime factorization of 2461

2461 = 23 x 107

Step 2: Find the prime factorization of 2469

2469 = 3 x 823

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

LCM = 6076209 = 3 x 23 x 107 x 823

Step 4: Therefore, the least common multiple of 2461 and 2469 is 6076209.