Least Common Multiple of 2428 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 2428 and 2429 the smallest integer that is 5897612 that is divisible by both numbers.

Least Common Multiple (LCM) of 2428 and 2429 is 5897612.

LCM(2428,2429) = 5897612

LCM of 2428 and 2429

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

LCM of:
and

Least Common Multiple of 2428 and 2429

LCM of 2428 and 2429 is 5897612

Least common multiple can be found by multiplying the highest exponent prime factors of 2428 and 2429. First we will calculate the prime factors of 2428 and 2429.

Prime Factorization of 2428


2 2428
2 1214
607 607
1

Prime factors of 2428 are 2,607. Prime factorization of 2428 in exponential form is:

2428 = 22×6071

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 2428 and 2429.

LCM(2428,2429) = 22×71×3471×6071
LCM(2428,2429) = 5897612

Factors of 2428

List of positive integer factors of 2428 that divides 2428 without a remainder.

1, 2, 4, 607, 1214, 2428

Factors of 2429

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

1, 7, 347, 2429

Least Common Multiple of 2428 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 2428 and 2429, than apply into the LCM equation.

GCF(2428,2429) = 1
LCM(2428,2429) = ( 2428 × 2429) / 1
LCM(2428,2429) = 5897612 / 1
LCM(2428,2429) = 5897612

Properties of LCM 2428 and 2429

(i) The LCM of 2429 and 2428 is associative

LCM of 2428 and 2429 = LCM of 2429 and 2428

Related Least Common Multiples of 2428

Related Least Common Multiples of 2429

Frequently Asked Questions on LCM of 2428 and 2429

1. What is the LCM of 2428 and 2429?

Answer: LCM of 2428 and 2429 is 5897612.

2. What are the Factors of 2428?

Answer: Factors of 2428 are 1, 2, 4, 607, 1214, 2428. There are 6 integers that are factors of 2428. The greatest factor of 2428 is 2428.

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 2428 and 2429?

Answer:

Least Common Multiple of 2428 and 2429 = 5897612

Step 1: Find the prime factorization of 2428

2428 = 2 x 2 x 607

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 = 5897612 = 2 x 2 x 7 x 347 x 607

Step 4: Therefore, the least common multiple of 2428 and 2429 is 5897612.