Least Common Multiple of 8430 and 8438

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 8438 the smallest integer that is 35566170 that is divisible by both numbers.

Least Common Multiple (LCM) of 8430 and 8438 is 35566170.

LCM(8430,8438) = 35566170

LCM of 8430 and 8438

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

LCM of:
and

Least Common Multiple of 8430 and 8438

LCM of 8430 and 8438 is 35566170

Least common multiple can be found by multiplying the highest exponent prime factors of 8430 and 8438. First we will calculate the prime factors of 8430 and 8438.

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 8438


2 8438
4219 4219
1

Prime factors of 8438 are 2,4219. Prime factorization of 8438 in exponential form is:

8438 = 21×42191

Now multiplying the highest exponent prime factors to calculate the LCM of 8430 and 8438.

LCM(8430,8438) = 21×31×51×2811×42191
LCM(8430,8438) = 35566170

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 8438

List of positive integer factors of 8438 that divides 8438 without a remainder.

1, 2, 4219, 8438

Least Common Multiple of 8430 and 8438 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 8438, than apply into the LCM equation.

GCF(8430,8438) = 2
LCM(8430,8438) = ( 8430 × 8438) / 2
LCM(8430,8438) = 71132340 / 2
LCM(8430,8438) = 35566170

Properties of LCM 8430 and 8438

(i) The LCM of 8438 and 8430 is associative

LCM of 8430 and 8438 = LCM of 8438 and 8430

Related Least Common Multiples of 8430

Related Least Common Multiples of 8438

Frequently Asked Questions on LCM of 8430 and 8438

1. What is the LCM of 8430 and 8438?

Answer: LCM of 8430 and 8438 is 35566170.

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 8438?

Answer: Factors of 8438 are 1, 2, 4219, 8438. There are 4 integers that are factors of 8438. The greatest factor of 8438 is 8438.

4. How to Find the LCM of 8430 and 8438?

Answer:

Least Common Multiple of 8430 and 8438 = 35566170

Step 1: Find the prime factorization of 8430

8430 = 2 x 3 x 5 x 281

Step 2: Find the prime factorization of 8438

8438 = 2 x 4219

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

LCM = 35566170 = 2 x 3 x 5 x 281 x 4219

Step 4: Therefore, the least common multiple of 8430 and 8438 is 35566170.