Least Common Multiple of 8409 and 8417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8409 and 8417 the smallest integer that is 70778553 that is divisible by both numbers.

Least Common Multiple (LCM) of 8409 and 8417 is 70778553.

LCM(8409,8417) = 70778553

LCM of 8409 and 8417

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

LCM of:
and

Least Common Multiple of 8409 and 8417

LCM of 8409 and 8417 is 70778553

Least common multiple can be found by multiplying the highest exponent prime factors of 8409 and 8417. First we will calculate the prime factors of 8409 and 8417.

Prime Factorization of 8409


3 8409
2803 2803
1

Prime factors of 8409 are 3,2803. Prime factorization of 8409 in exponential form is:

8409 = 31×28031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8409 and 8417.

LCM(8409,8417) = 31×191×4431×28031
LCM(8409,8417) = 70778553

Factors of 8409

List of positive integer factors of 8409 that divides 8409 without a remainder.

1, 3, 2803, 8409

Factors of 8417

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

1, 19, 443, 8417

Least Common Multiple of 8409 and 8417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8409 and 8417, than apply into the LCM equation.

GCF(8409,8417) = 1
LCM(8409,8417) = ( 8409 × 8417) / 1
LCM(8409,8417) = 70778553 / 1
LCM(8409,8417) = 70778553

Properties of LCM 8409 and 8417

(i) The LCM of 8417 and 8409 is associative

LCM of 8409 and 8417 = LCM of 8417 and 8409

Related Least Common Multiples of 8409

Related Least Common Multiples of 8417

Frequently Asked Questions on LCM of 8409 and 8417

1. What is the LCM of 8409 and 8417?

Answer: LCM of 8409 and 8417 is 70778553.

2. What are the Factors of 8409?

Answer: Factors of 8409 are 1, 3, 2803, 8409. There are 4 integers that are factors of 8409. The greatest factor of 8409 is 8409.

3. 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.

4. How to Find the LCM of 8409 and 8417?

Answer:

Least Common Multiple of 8409 and 8417 = 70778553

Step 1: Find the prime factorization of 8409

8409 = 3 x 2803

Step 2: Find the prime factorization of 8417

8417 = 19 x 443

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

LCM = 70778553 = 3 x 19 x 443 x 2803

Step 4: Therefore, the least common multiple of 8409 and 8417 is 70778553.