Least Common Multiple of 2424 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 2424 and 2428 the smallest integer that is 1471368 that is divisible by both numbers.

Least Common Multiple (LCM) of 2424 and 2428 is 1471368.

LCM(2424,2428) = 1471368

LCM of 2424 and 2428

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

LCM of:
and

Least Common Multiple of 2424 and 2428

LCM of 2424 and 2428 is 1471368

Least common multiple can be found by multiplying the highest exponent prime factors of 2424 and 2428. First we will calculate the prime factors of 2424 and 2428.

Prime Factorization of 2424


2 2424
2 1212
2 606
3 303
101 101
1

Prime factors of 2424 are 2, 3,101. Prime factorization of 2424 in exponential form is:

2424 = 23×31×1011

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 2424 and 2428.

LCM(2424,2428) = 23×31×1011×6071
LCM(2424,2428) = 1471368

Factors of 2424

List of positive integer factors of 2424 that divides 2424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424

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 2424 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 2424 and 2428, than apply into the LCM equation.

GCF(2424,2428) = 4
LCM(2424,2428) = ( 2424 × 2428) / 4
LCM(2424,2428) = 5885472 / 4
LCM(2424,2428) = 1471368

Properties of LCM 2424 and 2428

(i) The LCM of 2428 and 2424 is associative

LCM of 2424 and 2428 = LCM of 2428 and 2424

Related Least Common Multiples of 2424

Related Least Common Multiples of 2428

Frequently Asked Questions on LCM of 2424 and 2428

1. What is the LCM of 2424 and 2428?

Answer: LCM of 2424 and 2428 is 1471368.

2. What are the Factors of 2424?

Answer: Factors of 2424 are 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424. There are 16 integers that are factors of 2424. The greatest factor of 2424 is 2424.

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 2424 and 2428?

Answer:

Least Common Multiple of 2424 and 2428 = 1471368

Step 1: Find the prime factorization of 2424

2424 = 2 x 2 x 2 x 3 x 101

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 = 1471368 = 2 x 2 x 2 x 3 x 101 x 607

Step 4: Therefore, the least common multiple of 2424 and 2428 is 1471368.