Least Common Multiple of 8435 and 8443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8435 and 8443 the smallest integer that is 71216705 that is divisible by both numbers.

Least Common Multiple (LCM) of 8435 and 8443 is 71216705.

LCM(8435,8443) = 71216705

LCM of 8435 and 8443

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

LCM of:
and

Least Common Multiple of 8435 and 8443

LCM of 8435 and 8443 is 71216705

Least common multiple can be found by multiplying the highest exponent prime factors of 8435 and 8443. First we will calculate the prime factors of 8435 and 8443.

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

Prime Factorization of 8443


8443 8443
1

Prime factors of 8443 are 8443. Prime factorization of 8443 in exponential form is:

8443 = 84431

Now multiplying the highest exponent prime factors to calculate the LCM of 8435 and 8443.

LCM(8435,8443) = 51×71×2411×84431
LCM(8435,8443) = 71216705

Factors of 8435

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

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

Factors of 8443

List of positive integer factors of 8443 that divides 8443 without a remainder.

1, 8443

Least Common Multiple of 8435 and 8443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8435 and 8443, than apply into the LCM equation.

GCF(8435,8443) = 1
LCM(8435,8443) = ( 8435 × 8443) / 1
LCM(8435,8443) = 71216705 / 1
LCM(8435,8443) = 71216705

Properties of LCM 8435 and 8443

(i) The LCM of 8443 and 8435 is associative

LCM of 8435 and 8443 = LCM of 8443 and 8435

Related Least Common Multiples of 8435

Related Least Common Multiples of 8443

Frequently Asked Questions on LCM of 8435 and 8443

1. What is the LCM of 8435 and 8443?

Answer: LCM of 8435 and 8443 is 71216705.

2. 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.

3. What are the Factors of 8443?

Answer: Factors of 8443 are 1, 8443. There are 2 integers that are factors of 8443. The greatest factor of 8443 is 8443.

4. How to Find the LCM of 8435 and 8443?

Answer:

Least Common Multiple of 8435 and 8443 = 71216705

Step 1: Find the prime factorization of 8435

8435 = 5 x 7 x 241

Step 2: Find the prime factorization of 8443

8443 = 8443

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

LCM = 71216705 = 5 x 7 x 241 x 8443

Step 4: Therefore, the least common multiple of 8435 and 8443 is 71216705.