Least Common Multiple of 2448 and 2455

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 2455 the smallest integer that is 6009840 that is divisible by both numbers.

Least Common Multiple (LCM) of 2448 and 2455 is 6009840.

LCM(2448,2455) = 6009840

LCM of 2448 and 2455

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

LCM of:
and

Least Common Multiple of 2448 and 2455

LCM of 2448 and 2455 is 6009840

Least common multiple can be found by multiplying the highest exponent prime factors of 2448 and 2455. First we will calculate the prime factors of 2448 and 2455.

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 2455


5 2455
491 491
1

Prime factors of 2455 are 5,491. Prime factorization of 2455 in exponential form is:

2455 = 51×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 2448 and 2455.

LCM(2448,2455) = 24×32×51×171×4911
LCM(2448,2455) = 6009840

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 2455

List of positive integer factors of 2455 that divides 2455 without a remainder.

1, 5, 491, 2455

Least Common Multiple of 2448 and 2455 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 2455, than apply into the LCM equation.

GCF(2448,2455) = 1
LCM(2448,2455) = ( 2448 × 2455) / 1
LCM(2448,2455) = 6009840 / 1
LCM(2448,2455) = 6009840

Properties of LCM 2448 and 2455

(i) The LCM of 2455 and 2448 is associative

LCM of 2448 and 2455 = LCM of 2455 and 2448

Related Least Common Multiples of 2448

Related Least Common Multiples of 2455

Frequently Asked Questions on LCM of 2448 and 2455

1. What is the LCM of 2448 and 2455?

Answer: LCM of 2448 and 2455 is 6009840.

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 2455?

Answer: Factors of 2455 are 1, 5, 491, 2455. There are 4 integers that are factors of 2455. The greatest factor of 2455 is 2455.

4. How to Find the LCM of 2448 and 2455?

Answer:

Least Common Multiple of 2448 and 2455 = 6009840

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 2455

2455 = 5 x 491

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

LCM = 6009840 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 17 x 491

Step 4: Therefore, the least common multiple of 2448 and 2455 is 6009840.