Least Common Multiple of 8430 and 8435

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 8435 the smallest integer that is 14221410 that is divisible by both numbers.

Least Common Multiple (LCM) of 8430 and 8435 is 14221410.

LCM(8430,8435) = 14221410

LCM of 8430 and 8435

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

LCM of:
and

Least Common Multiple of 8430 and 8435

LCM of 8430 and 8435 is 14221410

Least common multiple can be found by multiplying the highest exponent prime factors of 8430 and 8435. First we will calculate the prime factors of 8430 and 8435.

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 8435


5 8435
7 1687
241 241
1

Prime factors of 8435 are 5, 7,241. Prime factorization of 8435 in exponential form is:

8435 = 51×71×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 8430 and 8435.

LCM(8430,8435) = 21×31×51×71×2411×2811
LCM(8430,8435) = 14221410

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 8435

List of positive integer factors of 8435 that divides 8435 without a remainder.

1, 5, 7, 35, 241, 1205, 1687, 8435

Least Common Multiple of 8430 and 8435 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 8435, than apply into the LCM equation.

GCF(8430,8435) = 5
LCM(8430,8435) = ( 8430 × 8435) / 5
LCM(8430,8435) = 71107050 / 5
LCM(8430,8435) = 14221410

Properties of LCM 8430 and 8435

(i) The LCM of 8435 and 8430 is associative

LCM of 8430 and 8435 = LCM of 8435 and 8430

Related Least Common Multiples of 8430

Related Least Common Multiples of 8435

Frequently Asked Questions on LCM of 8430 and 8435

1. What is the LCM of 8430 and 8435?

Answer: LCM of 8430 and 8435 is 14221410.

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 8435?

Answer: Factors of 8435 are 1, 5, 7, 35, 241, 1205, 1687, 8435. There are 8 integers that are factors of 8435. The greatest factor of 8435 is 8435.

4. How to Find the LCM of 8430 and 8435?

Answer:

Least Common Multiple of 8430 and 8435 = 14221410

Step 1: Find the prime factorization of 8430

8430 = 2 x 3 x 5 x 281

Step 2: Find the prime factorization of 8435

8435 = 5 x 7 x 241

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

LCM = 14221410 = 2 x 3 x 5 x 7 x 241 x 281

Step 4: Therefore, the least common multiple of 8430 and 8435 is 14221410.