Least Common Multiple of 2430 and 2438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2430 and 2438 the smallest integer that is 2962170 that is divisible by both numbers.

Least Common Multiple (LCM) of 2430 and 2438 is 2962170.

LCM(2430,2438) = 2962170

LCM of 2430 and 2438

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

LCM of:
and

Least Common Multiple of 2430 and 2438

LCM of 2430 and 2438 is 2962170

Least common multiple can be found by multiplying the highest exponent prime factors of 2430 and 2438. First we will calculate the prime factors of 2430 and 2438.

Prime Factorization of 2430


2 2430
3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 2430 are 2, 3,5. Prime factorization of 2430 in exponential form is:

2430 = 21×35×51

Prime Factorization of 2438


2 2438
23 1219
53 53
1

Prime factors of 2438 are 2, 23,53. Prime factorization of 2438 in exponential form is:

2438 = 21×231×531

Now multiplying the highest exponent prime factors to calculate the LCM of 2430 and 2438.

LCM(2430,2438) = 21×35×51×231×531
LCM(2430,2438) = 2962170

Factors of 2430

List of positive integer factors of 2430 that divides 2430 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430

Factors of 2438

List of positive integer factors of 2438 that divides 2438 without a remainder.

1, 2, 23, 46, 53, 106, 1219, 2438

Least Common Multiple of 2430 and 2438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2430 and 2438, than apply into the LCM equation.

GCF(2430,2438) = 2
LCM(2430,2438) = ( 2430 × 2438) / 2
LCM(2430,2438) = 5924340 / 2
LCM(2430,2438) = 2962170

Properties of LCM 2430 and 2438

(i) The LCM of 2438 and 2430 is associative

LCM of 2430 and 2438 = LCM of 2438 and 2430

Related Least Common Multiples of 2430

Related Least Common Multiples of 2438

Frequently Asked Questions on LCM of 2430 and 2438

1. What is the LCM of 2430 and 2438?

Answer: LCM of 2430 and 2438 is 2962170.

2. What are the Factors of 2430?

Answer: Factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430. There are 24 integers that are factors of 2430. The greatest factor of 2430 is 2430.

3. What are the Factors of 2438?

Answer: Factors of 2438 are 1, 2, 23, 46, 53, 106, 1219, 2438. There are 8 integers that are factors of 2438. The greatest factor of 2438 is 2438.

4. How to Find the LCM of 2430 and 2438?

Answer:

Least Common Multiple of 2430 and 2438 = 2962170

Step 1: Find the prime factorization of 2430

2430 = 2 x 3 x 3 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 2438

2438 = 2 x 23 x 53

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

LCM = 2962170 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 23 x 53

Step 4: Therefore, the least common multiple of 2430 and 2438 is 2962170.