Least Common Multiple of 2442 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 2442 and 2448 the smallest integer that is 996336 that is divisible by both numbers.

Least Common Multiple (LCM) of 2442 and 2448 is 996336.

LCM(2442,2448) = 996336

LCM of 2442 and 2448

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

LCM of:
and

Least Common Multiple of 2442 and 2448

LCM of 2442 and 2448 is 996336

Least common multiple can be found by multiplying the highest exponent prime factors of 2442 and 2448. First we will calculate the prime factors of 2442 and 2448.

Prime Factorization of 2442


2 2442
3 1221
11 407
37 37
1

Prime factors of 2442 are 2, 3, 11,37. Prime factorization of 2442 in exponential form is:

2442 = 21×31×111×371

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 2442 and 2448.

LCM(2442,2448) = 24×32×111×171×371
LCM(2442,2448) = 996336

Factors of 2442

List of positive integer factors of 2442 that divides 2442 without a remainder.

1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221, 2442

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 2442 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 2442 and 2448, than apply into the LCM equation.

GCF(2442,2448) = 6
LCM(2442,2448) = ( 2442 × 2448) / 6
LCM(2442,2448) = 5978016 / 6
LCM(2442,2448) = 996336

Properties of LCM 2442 and 2448

(i) The LCM of 2448 and 2442 is associative

LCM of 2442 and 2448 = LCM of 2448 and 2442

Related Least Common Multiples of 2442

Related Least Common Multiples of 2448

Frequently Asked Questions on LCM of 2442 and 2448

1. What is the LCM of 2442 and 2448?

Answer: LCM of 2442 and 2448 is 996336.

2. What are the Factors of 2442?

Answer: Factors of 2442 are 1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221, 2442. There are 16 integers that are factors of 2442. The greatest factor of 2442 is 2442.

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 2442 and 2448?

Answer:

Least Common Multiple of 2442 and 2448 = 996336

Step 1: Find the prime factorization of 2442

2442 = 2 x 3 x 11 x 37

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 = 996336 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 17 x 37

Step 4: Therefore, the least common multiple of 2442 and 2448 is 996336.