Least Common Multiple of 2448 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 2448 and 2454 the smallest integer that is 1001232 that is divisible by both numbers.

Least Common Multiple (LCM) of 2448 and 2454 is 1001232.

LCM(2448,2454) = 1001232

LCM of 2448 and 2454

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

LCM of:
and

Least Common Multiple of 2448 and 2454

LCM of 2448 and 2454 is 1001232

Least common multiple can be found by multiplying the highest exponent prime factors of 2448 and 2454. First we will calculate the prime factors of 2448 and 2454.

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 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 2448 and 2454.

LCM(2448,2454) = 24×32×171×4091
LCM(2448,2454) = 1001232

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 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 2448 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 2448 and 2454, than apply into the LCM equation.

GCF(2448,2454) = 6
LCM(2448,2454) = ( 2448 × 2454) / 6
LCM(2448,2454) = 6007392 / 6
LCM(2448,2454) = 1001232

Properties of LCM 2448 and 2454

(i) The LCM of 2454 and 2448 is associative

LCM of 2448 and 2454 = LCM of 2454 and 2448

Related Least Common Multiples of 2448

Related Least Common Multiples of 2454

Frequently Asked Questions on LCM of 2448 and 2454

1. What is the LCM of 2448 and 2454?

Answer: LCM of 2448 and 2454 is 1001232.

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 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 2448 and 2454?

Answer:

Least Common Multiple of 2448 and 2454 = 1001232

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 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 = 1001232 = 2 x 2 x 2 x 2 x 3 x 3 x 17 x 409

Step 4: Therefore, the least common multiple of 2448 and 2454 is 1001232.