Least Common Multiple of 2430 and 2436

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 2436 the smallest integer that is 986580 that is divisible by both numbers.

Least Common Multiple (LCM) of 2430 and 2436 is 986580.

LCM(2430,2436) = 986580

LCM of 2430 and 2436

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

LCM of:
and

Least Common Multiple of 2430 and 2436

LCM of 2430 and 2436 is 986580

Least common multiple can be found by multiplying the highest exponent prime factors of 2430 and 2436. First we will calculate the prime factors of 2430 and 2436.

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 2436


2 2436
2 1218
3 609
7 203
29 29
1

Prime factors of 2436 are 2, 3, 7,29. Prime factorization of 2436 in exponential form is:

2436 = 22×31×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2430 and 2436.

LCM(2430,2436) = 22×35×51×71×291
LCM(2430,2436) = 986580

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 2436

List of positive integer factors of 2436 that divides 2436 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436

Least Common Multiple of 2430 and 2436 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 2436, than apply into the LCM equation.

GCF(2430,2436) = 6
LCM(2430,2436) = ( 2430 × 2436) / 6
LCM(2430,2436) = 5919480 / 6
LCM(2430,2436) = 986580

Properties of LCM 2430 and 2436

(i) The LCM of 2436 and 2430 is associative

LCM of 2430 and 2436 = LCM of 2436 and 2430

Related Least Common Multiples of 2430

Related Least Common Multiples of 2436

Frequently Asked Questions on LCM of 2430 and 2436

1. What is the LCM of 2430 and 2436?

Answer: LCM of 2430 and 2436 is 986580.

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 2436?

Answer: Factors of 2436 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436. There are 24 integers that are factors of 2436. The greatest factor of 2436 is 2436.

4. How to Find the LCM of 2430 and 2436?

Answer:

Least Common Multiple of 2430 and 2436 = 986580

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 2436

2436 = 2 x 2 x 3 x 7 x 29

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

LCM = 986580 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 29

Step 4: Therefore, the least common multiple of 2430 and 2436 is 986580.