Least Common Multiple of 8209 and 8216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8209 and 8216 the smallest integer that is 67445144 that is divisible by both numbers.

Least Common Multiple (LCM) of 8209 and 8216 is 67445144.

LCM(8209,8216) = 67445144

LCM of 8209 and 8216

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

LCM of:
and

Least Common Multiple of 8209 and 8216

LCM of 8209 and 8216 is 67445144

Least common multiple can be found by multiplying the highest exponent prime factors of 8209 and 8216. First we will calculate the prime factors of 8209 and 8216.

Prime Factorization of 8209


8209 8209
1

Prime factors of 8209 are 8209. Prime factorization of 8209 in exponential form is:

8209 = 82091

Prime Factorization of 8216


2 8216
2 4108
2 2054
13 1027
79 79
1

Prime factors of 8216 are 2, 13,79. Prime factorization of 8216 in exponential form is:

8216 = 23×131×791

Now multiplying the highest exponent prime factors to calculate the LCM of 8209 and 8216.

LCM(8209,8216) = 23×131×791×82091
LCM(8209,8216) = 67445144

Factors of 8209

List of positive integer factors of 8209 that divides 8209 without a remainder.

1, 8209

Factors of 8216

List of positive integer factors of 8216 that divides 8216 without a remainder.

1, 2, 4, 8, 13, 26, 52, 79, 104, 158, 316, 632, 1027, 2054, 4108, 8216

Least Common Multiple of 8209 and 8216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8209 and 8216, than apply into the LCM equation.

GCF(8209,8216) = 1
LCM(8209,8216) = ( 8209 × 8216) / 1
LCM(8209,8216) = 67445144 / 1
LCM(8209,8216) = 67445144

Properties of LCM 8209 and 8216

(i) The LCM of 8216 and 8209 is associative

LCM of 8209 and 8216 = LCM of 8216 and 8209

Related Least Common Multiples of 8209

Related Least Common Multiples of 8216

Frequently Asked Questions on LCM of 8209 and 8216

1. What is the LCM of 8209 and 8216?

Answer: LCM of 8209 and 8216 is 67445144.

2. What are the Factors of 8209?

Answer: Factors of 8209 are 1, 8209. There are 2 integers that are factors of 8209. The greatest factor of 8209 is 8209.

3. What are the Factors of 8216?

Answer: Factors of 8216 are 1, 2, 4, 8, 13, 26, 52, 79, 104, 158, 316, 632, 1027, 2054, 4108, 8216. There are 16 integers that are factors of 8216. The greatest factor of 8216 is 8216.

4. How to Find the LCM of 8209 and 8216?

Answer:

Least Common Multiple of 8209 and 8216 = 67445144

Step 1: Find the prime factorization of 8209

8209 = 8209

Step 2: Find the prime factorization of 8216

8216 = 2 x 2 x 2 x 13 x 79

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

LCM = 67445144 = 2 x 2 x 2 x 13 x 79 x 8209

Step 4: Therefore, the least common multiple of 8209 and 8216 is 67445144.