Least Common Multiple of 8430 and 8434

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 8434 the smallest integer that is 35549310 that is divisible by both numbers.

Least Common Multiple (LCM) of 8430 and 8434 is 35549310.

LCM(8430,8434) = 35549310

LCM of 8430 and 8434

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

LCM of:
and

Least Common Multiple of 8430 and 8434

LCM of 8430 and 8434 is 35549310

Least common multiple can be found by multiplying the highest exponent prime factors of 8430 and 8434. First we will calculate the prime factors of 8430 and 8434.

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 8434


2 8434
4217 4217
1

Prime factors of 8434 are 2,4217. Prime factorization of 8434 in exponential form is:

8434 = 21×42171

Now multiplying the highest exponent prime factors to calculate the LCM of 8430 and 8434.

LCM(8430,8434) = 21×31×51×2811×42171
LCM(8430,8434) = 35549310

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 8434

List of positive integer factors of 8434 that divides 8434 without a remainder.

1, 2, 4217, 8434

Least Common Multiple of 8430 and 8434 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 8434, than apply into the LCM equation.

GCF(8430,8434) = 2
LCM(8430,8434) = ( 8430 × 8434) / 2
LCM(8430,8434) = 71098620 / 2
LCM(8430,8434) = 35549310

Properties of LCM 8430 and 8434

(i) The LCM of 8434 and 8430 is associative

LCM of 8430 and 8434 = LCM of 8434 and 8430

Related Least Common Multiples of 8430

Related Least Common Multiples of 8434

Frequently Asked Questions on LCM of 8430 and 8434

1. What is the LCM of 8430 and 8434?

Answer: LCM of 8430 and 8434 is 35549310.

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 8434?

Answer: Factors of 8434 are 1, 2, 4217, 8434. There are 4 integers that are factors of 8434. The greatest factor of 8434 is 8434.

4. How to Find the LCM of 8430 and 8434?

Answer:

Least Common Multiple of 8430 and 8434 = 35549310

Step 1: Find the prime factorization of 8430

8430 = 2 x 3 x 5 x 281

Step 2: Find the prime factorization of 8434

8434 = 2 x 4217

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

LCM = 35549310 = 2 x 3 x 5 x 281 x 4217

Step 4: Therefore, the least common multiple of 8430 and 8434 is 35549310.