Least Common Multiple of 8417 and 8423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8417 and 8423 the smallest integer that is 70896391 that is divisible by both numbers.

Least Common Multiple (LCM) of 8417 and 8423 is 70896391.

LCM(8417,8423) = 70896391

LCM of 8417 and 8423

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

LCM of:
and

Least Common Multiple of 8417 and 8423

LCM of 8417 and 8423 is 70896391

Least common multiple can be found by multiplying the highest exponent prime factors of 8417 and 8423. First we will calculate the prime factors of 8417 and 8423.

Prime Factorization of 8417


19 8417
443 443
1

Prime factors of 8417 are 19,443. Prime factorization of 8417 in exponential form is:

8417 = 191×4431

Prime Factorization of 8423


8423 8423
1

Prime factors of 8423 are 8423. Prime factorization of 8423 in exponential form is:

8423 = 84231

Now multiplying the highest exponent prime factors to calculate the LCM of 8417 and 8423.

LCM(8417,8423) = 191×4431×84231
LCM(8417,8423) = 70896391

Factors of 8417

List of positive integer factors of 8417 that divides 8417 without a remainder.

1, 19, 443, 8417

Factors of 8423

List of positive integer factors of 8423 that divides 8423 without a remainder.

1, 8423

Least Common Multiple of 8417 and 8423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8417 and 8423, than apply into the LCM equation.

GCF(8417,8423) = 1
LCM(8417,8423) = ( 8417 × 8423) / 1
LCM(8417,8423) = 70896391 / 1
LCM(8417,8423) = 70896391

Properties of LCM 8417 and 8423

(i) The LCM of 8423 and 8417 is associative

LCM of 8417 and 8423 = LCM of 8423 and 8417

Related Least Common Multiples of 8417

Related Least Common Multiples of 8423

Frequently Asked Questions on LCM of 8417 and 8423

1. What is the LCM of 8417 and 8423?

Answer: LCM of 8417 and 8423 is 70896391.

2. What are the Factors of 8417?

Answer: Factors of 8417 are 1, 19, 443, 8417. There are 4 integers that are factors of 8417. The greatest factor of 8417 is 8417.

3. What are the Factors of 8423?

Answer: Factors of 8423 are 1, 8423. There are 2 integers that are factors of 8423. The greatest factor of 8423 is 8423.

4. How to Find the LCM of 8417 and 8423?

Answer:

Least Common Multiple of 8417 and 8423 = 70896391

Step 1: Find the prime factorization of 8417

8417 = 19 x 443

Step 2: Find the prime factorization of 8423

8423 = 8423

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

LCM = 70896391 = 19 x 443 x 8423

Step 4: Therefore, the least common multiple of 8417 and 8423 is 70896391.