Least Common Multiple of 2469 and 2474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2469 and 2474 the smallest integer that is 6108306 that is divisible by both numbers.

Least Common Multiple (LCM) of 2469 and 2474 is 6108306.

LCM(2469,2474) = 6108306

LCM of 2469 and 2474

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

LCM of:
and

Least Common Multiple of 2469 and 2474

LCM of 2469 and 2474 is 6108306

Least common multiple can be found by multiplying the highest exponent prime factors of 2469 and 2474. First we will calculate the prime factors of 2469 and 2474.

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

Prime Factorization of 2474


2 2474
1237 1237
1

Prime factors of 2474 are 2,1237. Prime factorization of 2474 in exponential form is:

2474 = 21×12371

Now multiplying the highest exponent prime factors to calculate the LCM of 2469 and 2474.

LCM(2469,2474) = 21×31×8231×12371
LCM(2469,2474) = 6108306

Factors of 2469

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

1, 3, 823, 2469

Factors of 2474

List of positive integer factors of 2474 that divides 2474 without a remainder.

1, 2, 1237, 2474

Least Common Multiple of 2469 and 2474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2469 and 2474, than apply into the LCM equation.

GCF(2469,2474) = 1
LCM(2469,2474) = ( 2469 × 2474) / 1
LCM(2469,2474) = 6108306 / 1
LCM(2469,2474) = 6108306

Properties of LCM 2469 and 2474

(i) The LCM of 2474 and 2469 is associative

LCM of 2469 and 2474 = LCM of 2474 and 2469

Related Least Common Multiples of 2469

Related Least Common Multiples of 2474

Frequently Asked Questions on LCM of 2469 and 2474

1. What is the LCM of 2469 and 2474?

Answer: LCM of 2469 and 2474 is 6108306.

2. 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.

3. What are the Factors of 2474?

Answer: Factors of 2474 are 1, 2, 1237, 2474. There are 4 integers that are factors of 2474. The greatest factor of 2474 is 2474.

4. How to Find the LCM of 2469 and 2474?

Answer:

Least Common Multiple of 2469 and 2474 = 6108306

Step 1: Find the prime factorization of 2469

2469 = 3 x 823

Step 2: Find the prime factorization of 2474

2474 = 2 x 1237

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

LCM = 6108306 = 2 x 3 x 823 x 1237

Step 4: Therefore, the least common multiple of 2469 and 2474 is 6108306.