Least Common Multiple of 2435 and 2443

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 2443 the smallest integer that is 5948705 that is divisible by both numbers.

Least Common Multiple (LCM) of 2435 and 2443 is 5948705.

LCM(2435,2443) = 5948705

LCM of 2435 and 2443

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

LCM of:
and

Least Common Multiple of 2435 and 2443

LCM of 2435 and 2443 is 5948705

Least common multiple can be found by multiplying the highest exponent prime factors of 2435 and 2443. First we will calculate the prime factors of 2435 and 2443.

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 2443


7 2443
349 349
1

Prime factors of 2443 are 7,349. Prime factorization of 2443 in exponential form is:

2443 = 71×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 2435 and 2443.

LCM(2435,2443) = 51×71×3491×4871
LCM(2435,2443) = 5948705

Factors of 2435

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

1, 5, 487, 2435

Factors of 2443

List of positive integer factors of 2443 that divides 2443 without a remainder.

1, 7, 349, 2443

Least Common Multiple of 2435 and 2443 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 2443, than apply into the LCM equation.

GCF(2435,2443) = 1
LCM(2435,2443) = ( 2435 × 2443) / 1
LCM(2435,2443) = 5948705 / 1
LCM(2435,2443) = 5948705

Properties of LCM 2435 and 2443

(i) The LCM of 2443 and 2435 is associative

LCM of 2435 and 2443 = LCM of 2443 and 2435

Related Least Common Multiples of 2435

Related Least Common Multiples of 2443

Frequently Asked Questions on LCM of 2435 and 2443

1. What is the LCM of 2435 and 2443?

Answer: LCM of 2435 and 2443 is 5948705.

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 2443?

Answer: Factors of 2443 are 1, 7, 349, 2443. There are 4 integers that are factors of 2443. The greatest factor of 2443 is 2443.

4. How to Find the LCM of 2435 and 2443?

Answer:

Least Common Multiple of 2435 and 2443 = 5948705

Step 1: Find the prime factorization of 2435

2435 = 5 x 487

Step 2: Find the prime factorization of 2443

2443 = 7 x 349

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

LCM = 5948705 = 5 x 7 x 349 x 487

Step 4: Therefore, the least common multiple of 2435 and 2443 is 5948705.