Least Common Multiple of 10209 and 10216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10209 and 10216 the smallest integer that is 104295144 that is divisible by both numbers.

Least Common Multiple (LCM) of 10209 and 10216 is 104295144.

LCM(10209,10216) = 104295144

LCM of 10209 and 10216

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

LCM of:
and

Least Common Multiple of 10209 and 10216

LCM of 10209 and 10216 is 104295144

Least common multiple can be found by multiplying the highest exponent prime factors of 10209 and 10216. First we will calculate the prime factors of 10209 and 10216.

Prime Factorization of 10209


3 10209
41 3403
83 83
1

Prime factors of 10209 are 3, 41,83. Prime factorization of 10209 in exponential form is:

10209 = 31×411×831

Prime Factorization of 10216


2 10216
2 5108
2 2554
1277 1277
1

Prime factors of 10216 are 2,1277. Prime factorization of 10216 in exponential form is:

10216 = 23×12771

Now multiplying the highest exponent prime factors to calculate the LCM of 10209 and 10216.

LCM(10209,10216) = 23×31×411×831×12771
LCM(10209,10216) = 104295144

Factors of 10209

List of positive integer factors of 10209 that divides 10209 without a remainder.

1, 3, 41, 83, 123, 249, 3403, 10209

Factors of 10216

List of positive integer factors of 10216 that divides 10216 without a remainder.

1, 2, 4, 8, 1277, 2554, 5108, 10216

Least Common Multiple of 10209 and 10216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10209 and 10216, than apply into the LCM equation.

GCF(10209,10216) = 1
LCM(10209,10216) = ( 10209 × 10216) / 1
LCM(10209,10216) = 104295144 / 1
LCM(10209,10216) = 104295144

Properties of LCM 10209 and 10216

(i) The LCM of 10216 and 10209 is associative

LCM of 10209 and 10216 = LCM of 10216 and 10209

Related Least Common Multiples of 10209

Related Least Common Multiples of 10216

Frequently Asked Questions on LCM of 10209 and 10216

1. What is the LCM of 10209 and 10216?

Answer: LCM of 10209 and 10216 is 104295144.

2. What are the Factors of 10209?

Answer: Factors of 10209 are 1, 3, 41, 83, 123, 249, 3403, 10209. There are 8 integers that are factors of 10209. The greatest factor of 10209 is 10209.

3. What are the Factors of 10216?

Answer: Factors of 10216 are 1, 2, 4, 8, 1277, 2554, 5108, 10216. There are 8 integers that are factors of 10216. The greatest factor of 10216 is 10216.

4. How to Find the LCM of 10209 and 10216?

Answer:

Least Common Multiple of 10209 and 10216 = 104295144

Step 1: Find the prime factorization of 10209

10209 = 3 x 41 x 83

Step 2: Find the prime factorization of 10216

10216 = 2 x 2 x 2 x 1277

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

LCM = 104295144 = 2 x 2 x 2 x 3 x 41 x 83 x 1277

Step 4: Therefore, the least common multiple of 10209 and 10216 is 104295144.