Least Common Multiple of 2448 and 2453

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 2453 the smallest integer that is 6004944 that is divisible by both numbers.

Least Common Multiple (LCM) of 2448 and 2453 is 6004944.

LCM(2448,2453) = 6004944

LCM of 2448 and 2453

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

LCM of:
and

Least Common Multiple of 2448 and 2453

LCM of 2448 and 2453 is 6004944

Least common multiple can be found by multiplying the highest exponent prime factors of 2448 and 2453. First we will calculate the prime factors of 2448 and 2453.

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 2453


11 2453
223 223
1

Prime factors of 2453 are 11,223. Prime factorization of 2453 in exponential form is:

2453 = 111×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 2448 and 2453.

LCM(2448,2453) = 24×32×111×171×2231
LCM(2448,2453) = 6004944

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 2453

List of positive integer factors of 2453 that divides 2453 without a remainder.

1, 11, 223, 2453

Least Common Multiple of 2448 and 2453 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 2453, than apply into the LCM equation.

GCF(2448,2453) = 1
LCM(2448,2453) = ( 2448 × 2453) / 1
LCM(2448,2453) = 6004944 / 1
LCM(2448,2453) = 6004944

Properties of LCM 2448 and 2453

(i) The LCM of 2453 and 2448 is associative

LCM of 2448 and 2453 = LCM of 2453 and 2448

Related Least Common Multiples of 2448

Related Least Common Multiples of 2453

Frequently Asked Questions on LCM of 2448 and 2453

1. What is the LCM of 2448 and 2453?

Answer: LCM of 2448 and 2453 is 6004944.

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 2453?

Answer: Factors of 2453 are 1, 11, 223, 2453. There are 4 integers that are factors of 2453. The greatest factor of 2453 is 2453.

4. How to Find the LCM of 2448 and 2453?

Answer:

Least Common Multiple of 2448 and 2453 = 6004944

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 2453

2453 = 11 x 223

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

LCM = 6004944 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 17 x 223

Step 4: Therefore, the least common multiple of 2448 and 2453 is 6004944.