Least Common Multiple of 2437 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 2437 and 2442 the smallest integer that is 5951154 that is divisible by both numbers.

Least Common Multiple (LCM) of 2437 and 2442 is 5951154.

LCM(2437,2442) = 5951154

LCM of 2437 and 2442

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

LCM of:
and

Least Common Multiple of 2437 and 2442

LCM of 2437 and 2442 is 5951154

Least common multiple can be found by multiplying the highest exponent prime factors of 2437 and 2442. First we will calculate the prime factors of 2437 and 2442.

Prime Factorization of 2437


2437 2437
1

Prime factors of 2437 are 2437. Prime factorization of 2437 in exponential form is:

2437 = 24371

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 2437 and 2442.

LCM(2437,2442) = 21×31×111×371×24371
LCM(2437,2442) = 5951154

Factors of 2437

List of positive integer factors of 2437 that divides 2437 without a remainder.

1, 2437

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 2437 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 2437 and 2442, than apply into the LCM equation.

GCF(2437,2442) = 1
LCM(2437,2442) = ( 2437 × 2442) / 1
LCM(2437,2442) = 5951154 / 1
LCM(2437,2442) = 5951154

Properties of LCM 2437 and 2442

(i) The LCM of 2442 and 2437 is associative

LCM of 2437 and 2442 = LCM of 2442 and 2437

Related Least Common Multiples of 2437

Related Least Common Multiples of 2442

Frequently Asked Questions on LCM of 2437 and 2442

1. What is the LCM of 2437 and 2442?

Answer: LCM of 2437 and 2442 is 5951154.

2. What are the Factors of 2437?

Answer: Factors of 2437 are 1, 2437. There are 2 integers that are factors of 2437. The greatest factor of 2437 is 2437.

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 2437 and 2442?

Answer:

Least Common Multiple of 2437 and 2442 = 5951154

Step 1: Find the prime factorization of 2437

2437 = 2437

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 = 5951154 = 2 x 3 x 11 x 37 x 2437

Step 4: Therefore, the least common multiple of 2437 and 2442 is 5951154.