Least Common Multiple of 2434 and 2442

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 2442 the smallest integer that is 2971914 that is divisible by both numbers.

Least Common Multiple (LCM) of 2434 and 2442 is 2971914.

LCM(2434,2442) = 2971914

LCM of 2434 and 2442

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

LCM of:
and

Least Common Multiple of 2434 and 2442

LCM of 2434 and 2442 is 2971914

Least common multiple can be found by multiplying the highest exponent prime factors of 2434 and 2442. First we will calculate the prime factors of 2434 and 2442.

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 2442


2 2442
3 1221
11 407
37 37
1

Prime factors of 2442 are 2, 3, 11,37. Prime factorization of 2442 in exponential form is:

2442 = 21×31×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2434 and 2442.

LCM(2434,2442) = 21×31×111×371×12171
LCM(2434,2442) = 2971914

Factors of 2434

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

1, 2, 1217, 2434

Factors of 2442

List of positive integer factors of 2442 that divides 2442 without a remainder.

1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221, 2442

Least Common Multiple of 2434 and 2442 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 2442, than apply into the LCM equation.

GCF(2434,2442) = 2
LCM(2434,2442) = ( 2434 × 2442) / 2
LCM(2434,2442) = 5943828 / 2
LCM(2434,2442) = 2971914

Properties of LCM 2434 and 2442

(i) The LCM of 2442 and 2434 is associative

LCM of 2434 and 2442 = LCM of 2442 and 2434

Related Least Common Multiples of 2434

Related Least Common Multiples of 2442

Frequently Asked Questions on LCM of 2434 and 2442

1. What is the LCM of 2434 and 2442?

Answer: LCM of 2434 and 2442 is 2971914.

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 2442?

Answer: Factors of 2442 are 1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221, 2442. There are 16 integers that are factors of 2442. The greatest factor of 2442 is 2442.

4. How to Find the LCM of 2434 and 2442?

Answer:

Least Common Multiple of 2434 and 2442 = 2971914

Step 1: Find the prime factorization of 2434

2434 = 2 x 1217

Step 2: Find the prime factorization of 2442

2442 = 2 x 3 x 11 x 37

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

LCM = 2971914 = 2 x 3 x 11 x 37 x 1217

Step 4: Therefore, the least common multiple of 2434 and 2442 is 2971914.