Least Common Multiple of 2438 and 2445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2438 and 2445 the smallest integer that is 5960910 that is divisible by both numbers.

Least Common Multiple (LCM) of 2438 and 2445 is 5960910.

LCM(2438,2445) = 5960910

LCM of 2438 and 2445

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

LCM of:
and

Least Common Multiple of 2438 and 2445

LCM of 2438 and 2445 is 5960910

Least common multiple can be found by multiplying the highest exponent prime factors of 2438 and 2445. First we will calculate the prime factors of 2438 and 2445.

Prime Factorization of 2438


2 2438
23 1219
53 53
1

Prime factors of 2438 are 2, 23,53. Prime factorization of 2438 in exponential form is:

2438 = 21×231×531

Prime Factorization of 2445


3 2445
5 815
163 163
1

Prime factors of 2445 are 3, 5,163. Prime factorization of 2445 in exponential form is:

2445 = 31×51×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 2438 and 2445.

LCM(2438,2445) = 21×31×51×231×531×1631
LCM(2438,2445) = 5960910

Factors of 2438

List of positive integer factors of 2438 that divides 2438 without a remainder.

1, 2, 23, 46, 53, 106, 1219, 2438

Factors of 2445

List of positive integer factors of 2445 that divides 2445 without a remainder.

1, 3, 5, 15, 163, 489, 815, 2445

Least Common Multiple of 2438 and 2445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2438 and 2445, than apply into the LCM equation.

GCF(2438,2445) = 1
LCM(2438,2445) = ( 2438 × 2445) / 1
LCM(2438,2445) = 5960910 / 1
LCM(2438,2445) = 5960910

Properties of LCM 2438 and 2445

(i) The LCM of 2445 and 2438 is associative

LCM of 2438 and 2445 = LCM of 2445 and 2438

Related Least Common Multiples of 2438

Related Least Common Multiples of 2445

Frequently Asked Questions on LCM of 2438 and 2445

1. What is the LCM of 2438 and 2445?

Answer: LCM of 2438 and 2445 is 5960910.

2. What are the Factors of 2438?

Answer: Factors of 2438 are 1, 2, 23, 46, 53, 106, 1219, 2438. There are 8 integers that are factors of 2438. The greatest factor of 2438 is 2438.

3. What are the Factors of 2445?

Answer: Factors of 2445 are 1, 3, 5, 15, 163, 489, 815, 2445. There are 8 integers that are factors of 2445. The greatest factor of 2445 is 2445.

4. How to Find the LCM of 2438 and 2445?

Answer:

Least Common Multiple of 2438 and 2445 = 5960910

Step 1: Find the prime factorization of 2438

2438 = 2 x 23 x 53

Step 2: Find the prime factorization of 2445

2445 = 3 x 5 x 163

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

LCM = 5960910 = 2 x 3 x 5 x 23 x 53 x 163

Step 4: Therefore, the least common multiple of 2438 and 2445 is 5960910.