Least Common Multiple of 2426 and 2429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2426 and 2429 the smallest integer that is 5892754 that is divisible by both numbers.

Least Common Multiple (LCM) of 2426 and 2429 is 5892754.

LCM(2426,2429) = 5892754

LCM of 2426 and 2429

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

LCM of:
and

Least Common Multiple of 2426 and 2429

LCM of 2426 and 2429 is 5892754

Least common multiple can be found by multiplying the highest exponent prime factors of 2426 and 2429. First we will calculate the prime factors of 2426 and 2429.

Prime Factorization of 2426


2 2426
1213 1213
1

Prime factors of 2426 are 2,1213. Prime factorization of 2426 in exponential form is:

2426 = 21×12131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2426 and 2429.

LCM(2426,2429) = 21×71×3471×12131
LCM(2426,2429) = 5892754

Factors of 2426

List of positive integer factors of 2426 that divides 2426 without a remainder.

1, 2, 1213, 2426

Factors of 2429

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

1, 7, 347, 2429

Least Common Multiple of 2426 and 2429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2426 and 2429, than apply into the LCM equation.

GCF(2426,2429) = 1
LCM(2426,2429) = ( 2426 × 2429) / 1
LCM(2426,2429) = 5892754 / 1
LCM(2426,2429) = 5892754

Properties of LCM 2426 and 2429

(i) The LCM of 2429 and 2426 is associative

LCM of 2426 and 2429 = LCM of 2429 and 2426

Related Least Common Multiples of 2426

Related Least Common Multiples of 2429

Frequently Asked Questions on LCM of 2426 and 2429

1. What is the LCM of 2426 and 2429?

Answer: LCM of 2426 and 2429 is 5892754.

2. What are the Factors of 2426?

Answer: Factors of 2426 are 1, 2, 1213, 2426. There are 4 integers that are factors of 2426. The greatest factor of 2426 is 2426.

3. 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.

4. How to Find the LCM of 2426 and 2429?

Answer:

Least Common Multiple of 2426 and 2429 = 5892754

Step 1: Find the prime factorization of 2426

2426 = 2 x 1213

Step 2: Find the prime factorization of 2429

2429 = 7 x 347

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

LCM = 5892754 = 2 x 7 x 347 x 1213

Step 4: Therefore, the least common multiple of 2426 and 2429 is 5892754.