Least Common Multiple of 2439 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 2439 and 2445 the smallest integer that is 1987785 that is divisible by both numbers.

Least Common Multiple (LCM) of 2439 and 2445 is 1987785.

LCM(2439,2445) = 1987785

LCM of 2439 and 2445

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

LCM of:
and

Least Common Multiple of 2439 and 2445

LCM of 2439 and 2445 is 1987785

Least common multiple can be found by multiplying the highest exponent prime factors of 2439 and 2445. First we will calculate the prime factors of 2439 and 2445.

Prime Factorization of 2439


3 2439
3 813
271 271
1

Prime factors of 2439 are 3,271. Prime factorization of 2439 in exponential form is:

2439 = 32×2711

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 2439 and 2445.

LCM(2439,2445) = 32×51×1631×2711
LCM(2439,2445) = 1987785

Factors of 2439

List of positive integer factors of 2439 that divides 2439 without a remainder.

1, 3, 9, 271, 813, 2439

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 2439 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 2439 and 2445, than apply into the LCM equation.

GCF(2439,2445) = 3
LCM(2439,2445) = ( 2439 × 2445) / 3
LCM(2439,2445) = 5963355 / 3
LCM(2439,2445) = 1987785

Properties of LCM 2439 and 2445

(i) The LCM of 2445 and 2439 is associative

LCM of 2439 and 2445 = LCM of 2445 and 2439

Related Least Common Multiples of 2439

Related Least Common Multiples of 2445

Frequently Asked Questions on LCM of 2439 and 2445

1. What is the LCM of 2439 and 2445?

Answer: LCM of 2439 and 2445 is 1987785.

2. What are the Factors of 2439?

Answer: Factors of 2439 are 1, 3, 9, 271, 813, 2439. There are 6 integers that are factors of 2439. The greatest factor of 2439 is 2439.

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 2439 and 2445?

Answer:

Least Common Multiple of 2439 and 2445 = 1987785

Step 1: Find the prime factorization of 2439

2439 = 3 x 3 x 271

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 = 1987785 = 3 x 3 x 5 x 163 x 271

Step 4: Therefore, the least common multiple of 2439 and 2445 is 1987785.