Least Common Multiple of 2429 and 2435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2429 and 2435 the smallest integer that is 5914615 that is divisible by both numbers.

Least Common Multiple (LCM) of 2429 and 2435 is 5914615.

LCM(2429,2435) = 5914615

LCM of 2429 and 2435

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

LCM of:
and

Least Common Multiple of 2429 and 2435

LCM of 2429 and 2435 is 5914615

Least common multiple can be found by multiplying the highest exponent prime factors of 2429 and 2435. First we will calculate the prime factors of 2429 and 2435.

Prime Factorization of 2429


7 2429
347 347
1

Prime factors of 2429 are 7,347. Prime factorization of 2429 in exponential form is:

2429 = 71×3471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2429 and 2435.

LCM(2429,2435) = 51×71×3471×4871
LCM(2429,2435) = 5914615

Factors of 2429

List of positive integer factors of 2429 that divides 2429 without a remainder.

1, 7, 347, 2429

Factors of 2435

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

1, 5, 487, 2435

Least Common Multiple of 2429 and 2435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2429 and 2435, than apply into the LCM equation.

GCF(2429,2435) = 1
LCM(2429,2435) = ( 2429 × 2435) / 1
LCM(2429,2435) = 5914615 / 1
LCM(2429,2435) = 5914615

Properties of LCM 2429 and 2435

(i) The LCM of 2435 and 2429 is associative

LCM of 2429 and 2435 = LCM of 2435 and 2429

Related Least Common Multiples of 2429

Related Least Common Multiples of 2435

Frequently Asked Questions on LCM of 2429 and 2435

1. What is the LCM of 2429 and 2435?

Answer: LCM of 2429 and 2435 is 5914615.

2. What are the Factors of 2429?

Answer: Factors of 2429 are 1, 7, 347, 2429. There are 4 integers that are factors of 2429. The greatest factor of 2429 is 2429.

3. 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.

4. How to Find the LCM of 2429 and 2435?

Answer:

Least Common Multiple of 2429 and 2435 = 5914615

Step 1: Find the prime factorization of 2429

2429 = 7 x 347

Step 2: Find the prime factorization of 2435

2435 = 5 x 487

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

LCM = 5914615 = 5 x 7 x 347 x 487

Step 4: Therefore, the least common multiple of 2429 and 2435 is 5914615.