Least Common Multiple of 8430 and 8436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8430 and 8436 the smallest integer that is 11852580 that is divisible by both numbers.

Least Common Multiple (LCM) of 8430 and 8436 is 11852580.

LCM(8430,8436) = 11852580

LCM of 8430 and 8436

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

LCM of:
and

Least Common Multiple of 8430 and 8436

LCM of 8430 and 8436 is 11852580

Least common multiple can be found by multiplying the highest exponent prime factors of 8430 and 8436. First we will calculate the prime factors of 8430 and 8436.

Prime Factorization of 8430


2 8430
3 4215
5 1405
281 281
1

Prime factors of 8430 are 2, 3, 5,281. Prime factorization of 8430 in exponential form is:

8430 = 21×31×51×2811

Prime Factorization of 8436


2 8436
2 4218
3 2109
19 703
37 37
1

Prime factors of 8436 are 2, 3, 19,37. Prime factorization of 8436 in exponential form is:

8436 = 22×31×191×371

Now multiplying the highest exponent prime factors to calculate the LCM of 8430 and 8436.

LCM(8430,8436) = 22×31×51×191×371×2811
LCM(8430,8436) = 11852580

Factors of 8430

List of positive integer factors of 8430 that divides 8430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 281, 562, 843, 1405, 1686, 2810, 4215, 8430

Factors of 8436

List of positive integer factors of 8436 that divides 8436 without a remainder.

1, 2, 3, 4, 6, 12, 19, 37, 38, 57, 74, 76, 111, 114, 148, 222, 228, 444, 703, 1406, 2109, 2812, 4218, 8436

Least Common Multiple of 8430 and 8436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8430 and 8436, than apply into the LCM equation.

GCF(8430,8436) = 6
LCM(8430,8436) = ( 8430 × 8436) / 6
LCM(8430,8436) = 71115480 / 6
LCM(8430,8436) = 11852580

Properties of LCM 8430 and 8436

(i) The LCM of 8436 and 8430 is associative

LCM of 8430 and 8436 = LCM of 8436 and 8430

Related Least Common Multiples of 8430

Related Least Common Multiples of 8436

Frequently Asked Questions on LCM of 8430 and 8436

1. What is the LCM of 8430 and 8436?

Answer: LCM of 8430 and 8436 is 11852580.

2. What are the Factors of 8430?

Answer: Factors of 8430 are 1, 2, 3, 5, 6, 10, 15, 30, 281, 562, 843, 1405, 1686, 2810, 4215, 8430. There are 16 integers that are factors of 8430. The greatest factor of 8430 is 8430.

3. What are the Factors of 8436?

Answer: Factors of 8436 are 1, 2, 3, 4, 6, 12, 19, 37, 38, 57, 74, 76, 111, 114, 148, 222, 228, 444, 703, 1406, 2109, 2812, 4218, 8436. There are 24 integers that are factors of 8436. The greatest factor of 8436 is 8436.

4. How to Find the LCM of 8430 and 8436?

Answer:

Least Common Multiple of 8430 and 8436 = 11852580

Step 1: Find the prime factorization of 8430

8430 = 2 x 3 x 5 x 281

Step 2: Find the prime factorization of 8436

8436 = 2 x 2 x 3 x 19 x 37

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

LCM = 11852580 = 2 x 2 x 3 x 5 x 19 x 37 x 281

Step 4: Therefore, the least common multiple of 8430 and 8436 is 11852580.