Least Common Multiple of 2428 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 2428 and 2435 the smallest integer that is 5912180 that is divisible by both numbers.

Least Common Multiple (LCM) of 2428 and 2435 is 5912180.

LCM(2428,2435) = 5912180

LCM of 2428 and 2435

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

LCM of:
and

Least Common Multiple of 2428 and 2435

LCM of 2428 and 2435 is 5912180

Least common multiple can be found by multiplying the highest exponent prime factors of 2428 and 2435. First we will calculate the prime factors of 2428 and 2435.

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 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 2428 and 2435.

LCM(2428,2435) = 22×51×4871×6071
LCM(2428,2435) = 5912180

Factors of 2428

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

1, 2, 4, 607, 1214, 2428

Factors of 2435

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

1, 5, 487, 2435

Least Common Multiple of 2428 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 2428 and 2435, than apply into the LCM equation.

GCF(2428,2435) = 1
LCM(2428,2435) = ( 2428 × 2435) / 1
LCM(2428,2435) = 5912180 / 1
LCM(2428,2435) = 5912180

Properties of LCM 2428 and 2435

(i) The LCM of 2435 and 2428 is associative

LCM of 2428 and 2435 = LCM of 2435 and 2428

Related Least Common Multiples of 2428

Related Least Common Multiples of 2435

Frequently Asked Questions on LCM of 2428 and 2435

1. What is the LCM of 2428 and 2435?

Answer: LCM of 2428 and 2435 is 5912180.

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 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 2428 and 2435?

Answer:

Least Common Multiple of 2428 and 2435 = 5912180

Step 1: Find the prime factorization of 2428

2428 = 2 x 2 x 607

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 = 5912180 = 2 x 2 x 5 x 487 x 607

Step 4: Therefore, the least common multiple of 2428 and 2435 is 5912180.