Least Common Multiple of 2437 and 2444

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 2444 the smallest integer that is 5956028 that is divisible by both numbers.

Least Common Multiple (LCM) of 2437 and 2444 is 5956028.

LCM(2437,2444) = 5956028

LCM of 2437 and 2444

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

LCM of:
and

Least Common Multiple of 2437 and 2444

LCM of 2437 and 2444 is 5956028

Least common multiple can be found by multiplying the highest exponent prime factors of 2437 and 2444. First we will calculate the prime factors of 2437 and 2444.

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 2444


2 2444
2 1222
13 611
47 47
1

Prime factors of 2444 are 2, 13,47. Prime factorization of 2444 in exponential form is:

2444 = 22×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 2437 and 2444.

LCM(2437,2444) = 22×131×471×24371
LCM(2437,2444) = 5956028

Factors of 2437

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

1, 2437

Factors of 2444

List of positive integer factors of 2444 that divides 2444 without a remainder.

1, 2, 4, 13, 26, 47, 52, 94, 188, 611, 1222, 2444

Least Common Multiple of 2437 and 2444 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 2444, than apply into the LCM equation.

GCF(2437,2444) = 1
LCM(2437,2444) = ( 2437 × 2444) / 1
LCM(2437,2444) = 5956028 / 1
LCM(2437,2444) = 5956028

Properties of LCM 2437 and 2444

(i) The LCM of 2444 and 2437 is associative

LCM of 2437 and 2444 = LCM of 2444 and 2437

Related Least Common Multiples of 2437

Related Least Common Multiples of 2444

Frequently Asked Questions on LCM of 2437 and 2444

1. What is the LCM of 2437 and 2444?

Answer: LCM of 2437 and 2444 is 5956028.

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 2444?

Answer: Factors of 2444 are 1, 2, 4, 13, 26, 47, 52, 94, 188, 611, 1222, 2444. There are 12 integers that are factors of 2444. The greatest factor of 2444 is 2444.

4. How to Find the LCM of 2437 and 2444?

Answer:

Least Common Multiple of 2437 and 2444 = 5956028

Step 1: Find the prime factorization of 2437

2437 = 2437

Step 2: Find the prime factorization of 2444

2444 = 2 x 2 x 13 x 47

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

LCM = 5956028 = 2 x 2 x 13 x 47 x 2437

Step 4: Therefore, the least common multiple of 2437 and 2444 is 5956028.