Least Common Multiple of 2426 and 2428

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 2428 the smallest integer that is 2945164 that is divisible by both numbers.

Least Common Multiple (LCM) of 2426 and 2428 is 2945164.

LCM(2426,2428) = 2945164

LCM of 2426 and 2428

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

LCM of:
and

Least Common Multiple of 2426 and 2428

LCM of 2426 and 2428 is 2945164

Least common multiple can be found by multiplying the highest exponent prime factors of 2426 and 2428. First we will calculate the prime factors of 2426 and 2428.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 2426 and 2428.

LCM(2426,2428) = 22×6071×12131
LCM(2426,2428) = 2945164

Factors of 2426

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

1, 2, 1213, 2426

Factors of 2428

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

1, 2, 4, 607, 1214, 2428

Least Common Multiple of 2426 and 2428 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 2428, than apply into the LCM equation.

GCF(2426,2428) = 2
LCM(2426,2428) = ( 2426 × 2428) / 2
LCM(2426,2428) = 5890328 / 2
LCM(2426,2428) = 2945164

Properties of LCM 2426 and 2428

(i) The LCM of 2428 and 2426 is associative

LCM of 2426 and 2428 = LCM of 2428 and 2426

Related Least Common Multiples of 2426

Related Least Common Multiples of 2428

Frequently Asked Questions on LCM of 2426 and 2428

1. What is the LCM of 2426 and 2428?

Answer: LCM of 2426 and 2428 is 2945164.

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 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.

4. How to Find the LCM of 2426 and 2428?

Answer:

Least Common Multiple of 2426 and 2428 = 2945164

Step 1: Find the prime factorization of 2426

2426 = 2 x 1213

Step 2: Find the prime factorization of 2428

2428 = 2 x 2 x 607

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

LCM = 2945164 = 2 x 2 x 607 x 1213

Step 4: Therefore, the least common multiple of 2426 and 2428 is 2945164.