Least Common Multiple of 2449 and 2454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2449 and 2454 the smallest integer that is 6009846 that is divisible by both numbers.

Least Common Multiple (LCM) of 2449 and 2454 is 6009846.

LCM(2449,2454) = 6009846

LCM of 2449 and 2454

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

LCM of:
and

Least Common Multiple of 2449 and 2454

LCM of 2449 and 2454 is 6009846

Least common multiple can be found by multiplying the highest exponent prime factors of 2449 and 2454. First we will calculate the prime factors of 2449 and 2454.

Prime Factorization of 2449


31 2449
79 79
1

Prime factors of 2449 are 31,79. Prime factorization of 2449 in exponential form is:

2449 = 311×791

Prime Factorization of 2454


2 2454
3 1227
409 409
1

Prime factors of 2454 are 2, 3,409. Prime factorization of 2454 in exponential form is:

2454 = 21×31×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 2449 and 2454.

LCM(2449,2454) = 21×31×311×791×4091
LCM(2449,2454) = 6009846

Factors of 2449

List of positive integer factors of 2449 that divides 2449 without a remainder.

1, 31, 79, 2449

Factors of 2454

List of positive integer factors of 2454 that divides 2454 without a remainder.

1, 2, 3, 6, 409, 818, 1227, 2454

Least Common Multiple of 2449 and 2454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2449 and 2454, than apply into the LCM equation.

GCF(2449,2454) = 1
LCM(2449,2454) = ( 2449 × 2454) / 1
LCM(2449,2454) = 6009846 / 1
LCM(2449,2454) = 6009846

Properties of LCM 2449 and 2454

(i) The LCM of 2454 and 2449 is associative

LCM of 2449 and 2454 = LCM of 2454 and 2449

Related Least Common Multiples of 2449

Related Least Common Multiples of 2454

Frequently Asked Questions on LCM of 2449 and 2454

1. What is the LCM of 2449 and 2454?

Answer: LCM of 2449 and 2454 is 6009846.

2. What are the Factors of 2449?

Answer: Factors of 2449 are 1, 31, 79, 2449. There are 4 integers that are factors of 2449. The greatest factor of 2449 is 2449.

3. What are the Factors of 2454?

Answer: Factors of 2454 are 1, 2, 3, 6, 409, 818, 1227, 2454. There are 8 integers that are factors of 2454. The greatest factor of 2454 is 2454.

4. How to Find the LCM of 2449 and 2454?

Answer:

Least Common Multiple of 2449 and 2454 = 6009846

Step 1: Find the prime factorization of 2449

2449 = 31 x 79

Step 2: Find the prime factorization of 2454

2454 = 2 x 3 x 409

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

LCM = 6009846 = 2 x 3 x 31 x 79 x 409

Step 4: Therefore, the least common multiple of 2449 and 2454 is 6009846.