Least Common Multiple of 2439 and 2446

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 2446 the smallest integer that is 5965794 that is divisible by both numbers.

Least Common Multiple (LCM) of 2439 and 2446 is 5965794.

LCM(2439,2446) = 5965794

LCM of 2439 and 2446

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

LCM of:
and

Least Common Multiple of 2439 and 2446

LCM of 2439 and 2446 is 5965794

Least common multiple can be found by multiplying the highest exponent prime factors of 2439 and 2446. First we will calculate the prime factors of 2439 and 2446.

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 2446


2 2446
1223 1223
1

Prime factors of 2446 are 2,1223. Prime factorization of 2446 in exponential form is:

2446 = 21×12231

Now multiplying the highest exponent prime factors to calculate the LCM of 2439 and 2446.

LCM(2439,2446) = 21×32×2711×12231
LCM(2439,2446) = 5965794

Factors of 2439

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

1, 3, 9, 271, 813, 2439

Factors of 2446

List of positive integer factors of 2446 that divides 2446 without a remainder.

1, 2, 1223, 2446

Least Common Multiple of 2439 and 2446 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 2446, than apply into the LCM equation.

GCF(2439,2446) = 1
LCM(2439,2446) = ( 2439 × 2446) / 1
LCM(2439,2446) = 5965794 / 1
LCM(2439,2446) = 5965794

Properties of LCM 2439 and 2446

(i) The LCM of 2446 and 2439 is associative

LCM of 2439 and 2446 = LCM of 2446 and 2439

Related Least Common Multiples of 2439

Related Least Common Multiples of 2446

Frequently Asked Questions on LCM of 2439 and 2446

1. What is the LCM of 2439 and 2446?

Answer: LCM of 2439 and 2446 is 5965794.

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 2446?

Answer: Factors of 2446 are 1, 2, 1223, 2446. There are 4 integers that are factors of 2446. The greatest factor of 2446 is 2446.

4. How to Find the LCM of 2439 and 2446?

Answer:

Least Common Multiple of 2439 and 2446 = 5965794

Step 1: Find the prime factorization of 2439

2439 = 3 x 3 x 271

Step 2: Find the prime factorization of 2446

2446 = 2 x 1223

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

LCM = 5965794 = 2 x 3 x 3 x 271 x 1223

Step 4: Therefore, the least common multiple of 2439 and 2446 is 5965794.