Least Common Multiple of 2435 and 2439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2435 and 2439 the smallest integer that is 5938965 that is divisible by both numbers.

Least Common Multiple (LCM) of 2435 and 2439 is 5938965.

LCM(2435,2439) = 5938965

LCM of 2435 and 2439

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

LCM of:
and

Least Common Multiple of 2435 and 2439

LCM of 2435 and 2439 is 5938965

Least common multiple can be found by multiplying the highest exponent prime factors of 2435 and 2439. First we will calculate the prime factors of 2435 and 2439.

Prime Factorization of 2435


5 2435
487 487
1

Prime factors of 2435 are 5,487. Prime factorization of 2435 in exponential form is:

2435 = 51×4871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2435 and 2439.

LCM(2435,2439) = 32×51×2711×4871
LCM(2435,2439) = 5938965

Factors of 2435

List of positive integer factors of 2435 that divides 2435 without a remainder.

1, 5, 487, 2435

Factors of 2439

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

1, 3, 9, 271, 813, 2439

Least Common Multiple of 2435 and 2439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2435 and 2439, than apply into the LCM equation.

GCF(2435,2439) = 1
LCM(2435,2439) = ( 2435 × 2439) / 1
LCM(2435,2439) = 5938965 / 1
LCM(2435,2439) = 5938965

Properties of LCM 2435 and 2439

(i) The LCM of 2439 and 2435 is associative

LCM of 2435 and 2439 = LCM of 2439 and 2435

Related Least Common Multiples of 2435

Related Least Common Multiples of 2439

Frequently Asked Questions on LCM of 2435 and 2439

1. What is the LCM of 2435 and 2439?

Answer: LCM of 2435 and 2439 is 5938965.

2. What are the Factors of 2435?

Answer: Factors of 2435 are 1, 5, 487, 2435. There are 4 integers that are factors of 2435. The greatest factor of 2435 is 2435.

3. 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.

4. How to Find the LCM of 2435 and 2439?

Answer:

Least Common Multiple of 2435 and 2439 = 5938965

Step 1: Find the prime factorization of 2435

2435 = 5 x 487

Step 2: Find the prime factorization of 2439

2439 = 3 x 3 x 271

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

LCM = 5938965 = 3 x 3 x 5 x 271 x 487

Step 4: Therefore, the least common multiple of 2435 and 2439 is 5938965.