Least Common Multiple of 2448 and 2450

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 2450 the smallest integer that is 2998800 that is divisible by both numbers.

Least Common Multiple (LCM) of 2448 and 2450 is 2998800.

LCM(2448,2450) = 2998800

LCM of 2448 and 2450

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

LCM of:
and

Least Common Multiple of 2448 and 2450

LCM of 2448 and 2450 is 2998800

Least common multiple can be found by multiplying the highest exponent prime factors of 2448 and 2450. First we will calculate the prime factors of 2448 and 2450.

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 2450


2 2450
5 1225
5 245
7 49
7 7
1

Prime factors of 2450 are 2, 5,7. Prime factorization of 2450 in exponential form is:

2450 = 21×52×72

Now multiplying the highest exponent prime factors to calculate the LCM of 2448 and 2450.

LCM(2448,2450) = 24×32×52×72×171
LCM(2448,2450) = 2998800

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 2450

List of positive integer factors of 2450 that divides 2450 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450

Least Common Multiple of 2448 and 2450 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 2450, than apply into the LCM equation.

GCF(2448,2450) = 2
LCM(2448,2450) = ( 2448 × 2450) / 2
LCM(2448,2450) = 5997600 / 2
LCM(2448,2450) = 2998800

Properties of LCM 2448 and 2450

(i) The LCM of 2450 and 2448 is associative

LCM of 2448 and 2450 = LCM of 2450 and 2448

Related Least Common Multiples of 2448

Related Least Common Multiples of 2450

Frequently Asked Questions on LCM of 2448 and 2450

1. What is the LCM of 2448 and 2450?

Answer: LCM of 2448 and 2450 is 2998800.

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 2450?

Answer: Factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450. There are 18 integers that are factors of 2450. The greatest factor of 2450 is 2450.

4. How to Find the LCM of 2448 and 2450?

Answer:

Least Common Multiple of 2448 and 2450 = 2998800

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 2450

2450 = 2 x 5 x 5 x 7 x 7

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

LCM = 2998800 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 7 x 17

Step 4: Therefore, the least common multiple of 2448 and 2450 is 2998800.