Least Common Multiple of 8409 and 8416

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 8416 the smallest integer that is 70770144 that is divisible by both numbers.

Least Common Multiple (LCM) of 8409 and 8416 is 70770144.

LCM(8409,8416) = 70770144

LCM of 8409 and 8416

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

LCM of:
and

Least Common Multiple of 8409 and 8416

LCM of 8409 and 8416 is 70770144

Least common multiple can be found by multiplying the highest exponent prime factors of 8409 and 8416. First we will calculate the prime factors of 8409 and 8416.

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 8416


2 8416
2 4208
2 2104
2 1052
2 526
263 263
1

Prime factors of 8416 are 2,263. Prime factorization of 8416 in exponential form is:

8416 = 25×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 8409 and 8416.

LCM(8409,8416) = 25×31×2631×28031
LCM(8409,8416) = 70770144

Factors of 8409

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

1, 3, 2803, 8409

Factors of 8416

List of positive integer factors of 8416 that divides 8416 without a remainder.

1, 2, 4, 8, 16, 32, 263, 526, 1052, 2104, 4208, 8416

Least Common Multiple of 8409 and 8416 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 8416, than apply into the LCM equation.

GCF(8409,8416) = 1
LCM(8409,8416) = ( 8409 × 8416) / 1
LCM(8409,8416) = 70770144 / 1
LCM(8409,8416) = 70770144

Properties of LCM 8409 and 8416

(i) The LCM of 8416 and 8409 is associative

LCM of 8409 and 8416 = LCM of 8416 and 8409

Related Least Common Multiples of 8409

Related Least Common Multiples of 8416

Frequently Asked Questions on LCM of 8409 and 8416

1. What is the LCM of 8409 and 8416?

Answer: LCM of 8409 and 8416 is 70770144.

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 8416?

Answer: Factors of 8416 are 1, 2, 4, 8, 16, 32, 263, 526, 1052, 2104, 4208, 8416. There are 12 integers that are factors of 8416. The greatest factor of 8416 is 8416.

4. How to Find the LCM of 8409 and 8416?

Answer:

Least Common Multiple of 8409 and 8416 = 70770144

Step 1: Find the prime factorization of 8409

8409 = 3 x 2803

Step 2: Find the prime factorization of 8416

8416 = 2 x 2 x 2 x 2 x 2 x 263

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

LCM = 70770144 = 2 x 2 x 2 x 2 x 2 x 3 x 263 x 2803

Step 4: Therefore, the least common multiple of 8409 and 8416 is 70770144.