Least Common Multiple of 2434 and 2440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2434 and 2440 the smallest integer that is 2969480 that is divisible by both numbers.

Least Common Multiple (LCM) of 2434 and 2440 is 2969480.

LCM(2434,2440) = 2969480

LCM of 2434 and 2440

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

LCM of:
and

Least Common Multiple of 2434 and 2440

LCM of 2434 and 2440 is 2969480

Least common multiple can be found by multiplying the highest exponent prime factors of 2434 and 2440. First we will calculate the prime factors of 2434 and 2440.

Prime Factorization of 2434


2 2434
1217 1217
1

Prime factors of 2434 are 2,1217. Prime factorization of 2434 in exponential form is:

2434 = 21×12171

Prime Factorization of 2440


2 2440
2 1220
2 610
5 305
61 61
1

Prime factors of 2440 are 2, 5,61. Prime factorization of 2440 in exponential form is:

2440 = 23×51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2434 and 2440.

LCM(2434,2440) = 23×51×611×12171
LCM(2434,2440) = 2969480

Factors of 2434

List of positive integer factors of 2434 that divides 2434 without a remainder.

1, 2, 1217, 2434

Factors of 2440

List of positive integer factors of 2440 that divides 2440 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220, 2440

Least Common Multiple of 2434 and 2440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2434 and 2440, than apply into the LCM equation.

GCF(2434,2440) = 2
LCM(2434,2440) = ( 2434 × 2440) / 2
LCM(2434,2440) = 5938960 / 2
LCM(2434,2440) = 2969480

Properties of LCM 2434 and 2440

(i) The LCM of 2440 and 2434 is associative

LCM of 2434 and 2440 = LCM of 2440 and 2434

Related Least Common Multiples of 2434

Related Least Common Multiples of 2440

Frequently Asked Questions on LCM of 2434 and 2440

1. What is the LCM of 2434 and 2440?

Answer: LCM of 2434 and 2440 is 2969480.

2. What are the Factors of 2434?

Answer: Factors of 2434 are 1, 2, 1217, 2434. There are 4 integers that are factors of 2434. The greatest factor of 2434 is 2434.

3. What are the Factors of 2440?

Answer: Factors of 2440 are 1, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220, 2440. There are 16 integers that are factors of 2440. The greatest factor of 2440 is 2440.

4. How to Find the LCM of 2434 and 2440?

Answer:

Least Common Multiple of 2434 and 2440 = 2969480

Step 1: Find the prime factorization of 2434

2434 = 2 x 1217

Step 2: Find the prime factorization of 2440

2440 = 2 x 2 x 2 x 5 x 61

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

LCM = 2969480 = 2 x 2 x 2 x 5 x 61 x 1217

Step 4: Therefore, the least common multiple of 2434 and 2440 is 2969480.