Least Common Multiple of 2448 and 2452

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 2452 the smallest integer that is 1500624 that is divisible by both numbers.

Least Common Multiple (LCM) of 2448 and 2452 is 1500624.

LCM(2448,2452) = 1500624

LCM of 2448 and 2452

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

LCM of:
and

Least Common Multiple of 2448 and 2452

LCM of 2448 and 2452 is 1500624

Least common multiple can be found by multiplying the highest exponent prime factors of 2448 and 2452. First we will calculate the prime factors of 2448 and 2452.

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 2452


2 2452
2 1226
613 613
1

Prime factors of 2452 are 2,613. Prime factorization of 2452 in exponential form is:

2452 = 22×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 2448 and 2452.

LCM(2448,2452) = 24×32×171×6131
LCM(2448,2452) = 1500624

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 2452

List of positive integer factors of 2452 that divides 2452 without a remainder.

1, 2, 4, 613, 1226, 2452

Least Common Multiple of 2448 and 2452 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 2452, than apply into the LCM equation.

GCF(2448,2452) = 4
LCM(2448,2452) = ( 2448 × 2452) / 4
LCM(2448,2452) = 6002496 / 4
LCM(2448,2452) = 1500624

Properties of LCM 2448 and 2452

(i) The LCM of 2452 and 2448 is associative

LCM of 2448 and 2452 = LCM of 2452 and 2448

Related Least Common Multiples of 2448

Related Least Common Multiples of 2452

Frequently Asked Questions on LCM of 2448 and 2452

1. What is the LCM of 2448 and 2452?

Answer: LCM of 2448 and 2452 is 1500624.

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 2452?

Answer: Factors of 2452 are 1, 2, 4, 613, 1226, 2452. There are 6 integers that are factors of 2452. The greatest factor of 2452 is 2452.

4. How to Find the LCM of 2448 and 2452?

Answer:

Least Common Multiple of 2448 and 2452 = 1500624

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 2452

2452 = 2 x 2 x 613

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

LCM = 1500624 = 2 x 2 x 2 x 2 x 3 x 3 x 17 x 613

Step 4: Therefore, the least common multiple of 2448 and 2452 is 1500624.