Least Common Multiple of 2448 and 2449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2448 and 2449 the smallest integer that is 5995152 that is divisible by both numbers.

Least Common Multiple (LCM) of 2448 and 2449 is 5995152.

LCM(2448,2449) = 5995152

LCM of 2448 and 2449

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

LCM of:
and

Least Common Multiple of 2448 and 2449

LCM of 2448 and 2449 is 5995152

Least common multiple can be found by multiplying the highest exponent prime factors of 2448 and 2449. First we will calculate the prime factors of 2448 and 2449.

Prime Factorization of 2448


2 2448
2 1224
2 612
2 306
3 153
3 51
17 17
1

Prime factors of 2448 are 2, 3,17. Prime factorization of 2448 in exponential form is:

2448 = 24×32×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2448 and 2449.

LCM(2448,2449) = 24×32×171×311×791
LCM(2448,2449) = 5995152

Factors of 2448

List of positive integer factors of 2448 that divides 2448 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448

Factors of 2449

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

1, 31, 79, 2449

Least Common Multiple of 2448 and 2449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2448 and 2449, than apply into the LCM equation.

GCF(2448,2449) = 1
LCM(2448,2449) = ( 2448 × 2449) / 1
LCM(2448,2449) = 5995152 / 1
LCM(2448,2449) = 5995152

Properties of LCM 2448 and 2449

(i) The LCM of 2449 and 2448 is associative

LCM of 2448 and 2449 = LCM of 2449 and 2448

Related Least Common Multiples of 2448

Related Least Common Multiples of 2449

Frequently Asked Questions on LCM of 2448 and 2449

1. What is the LCM of 2448 and 2449?

Answer: LCM of 2448 and 2449 is 5995152.

2. What are the Factors of 2448?

Answer: Factors of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448. There are 30 integers that are factors of 2448. The greatest factor of 2448 is 2448.

3. 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.

4. How to Find the LCM of 2448 and 2449?

Answer:

Least Common Multiple of 2448 and 2449 = 5995152

Step 1: Find the prime factorization of 2448

2448 = 2 x 2 x 2 x 2 x 3 x 3 x 17

Step 2: Find the prime factorization of 2449

2449 = 31 x 79

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

LCM = 5995152 = 2 x 2 x 2 x 2 x 3 x 3 x 17 x 31 x 79

Step 4: Therefore, the least common multiple of 2448 and 2449 is 5995152.