Least Common Multiple of 2444 and 2448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2444 and 2448 the smallest integer that is 1495728 that is divisible by both numbers.

Least Common Multiple (LCM) of 2444 and 2448 is 1495728.

LCM(2444,2448) = 1495728

LCM of 2444 and 2448

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

LCM of:
and

Least Common Multiple of 2444 and 2448

LCM of 2444 and 2448 is 1495728

Least common multiple can be found by multiplying the highest exponent prime factors of 2444 and 2448. First we will calculate the prime factors of 2444 and 2448.

Prime Factorization of 2444


2 2444
2 1222
13 611
47 47
1

Prime factors of 2444 are 2, 13,47. Prime factorization of 2444 in exponential form is:

2444 = 22×131×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2444 and 2448.

LCM(2444,2448) = 24×32×131×171×471
LCM(2444,2448) = 1495728

Factors of 2444

List of positive integer factors of 2444 that divides 2444 without a remainder.

1, 2, 4, 13, 26, 47, 52, 94, 188, 611, 1222, 2444

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

Least Common Multiple of 2444 and 2448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2444 and 2448, than apply into the LCM equation.

GCF(2444,2448) = 4
LCM(2444,2448) = ( 2444 × 2448) / 4
LCM(2444,2448) = 5982912 / 4
LCM(2444,2448) = 1495728

Properties of LCM 2444 and 2448

(i) The LCM of 2448 and 2444 is associative

LCM of 2444 and 2448 = LCM of 2448 and 2444

Related Least Common Multiples of 2444

Related Least Common Multiples of 2448

Frequently Asked Questions on LCM of 2444 and 2448

1. What is the LCM of 2444 and 2448?

Answer: LCM of 2444 and 2448 is 1495728.

2. What are the Factors of 2444?

Answer: Factors of 2444 are 1, 2, 4, 13, 26, 47, 52, 94, 188, 611, 1222, 2444. There are 12 integers that are factors of 2444. The greatest factor of 2444 is 2444.

3. 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.

4. How to Find the LCM of 2444 and 2448?

Answer:

Least Common Multiple of 2444 and 2448 = 1495728

Step 1: Find the prime factorization of 2444

2444 = 2 x 2 x 13 x 47

Step 2: Find the prime factorization of 2448

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

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

LCM = 1495728 = 2 x 2 x 2 x 2 x 3 x 3 x 13 x 17 x 47

Step 4: Therefore, the least common multiple of 2444 and 2448 is 1495728.