Least Common Multiple of 16206 and 16214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 16206 and 16214 the smallest integer that is 131382042 that is divisible by both numbers.

Least Common Multiple (LCM) of 16206 and 16214 is 131382042.

LCM(16206,16214) = 131382042

LCM of 16206 and 16214

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

LCM of:
and

Least Common Multiple of 16206 and 16214

LCM of 16206 and 16214 is 131382042

Least common multiple can be found by multiplying the highest exponent prime factors of 16206 and 16214. First we will calculate the prime factors of 16206 and 16214.

Prime Factorization of 16206


2 16206
3 8103
37 2701
73 73
1

Prime factors of 16206 are 2, 3, 37,73. Prime factorization of 16206 in exponential form is:

16206 = 21×31×371×731

Prime Factorization of 16214


2 16214
11 8107
11 737
67 67
1

Prime factors of 16214 are 2, 11,67. Prime factorization of 16214 in exponential form is:

16214 = 21×112×671

Now multiplying the highest exponent prime factors to calculate the LCM of 16206 and 16214.

LCM(16206,16214) = 21×31×112×371×671×731
LCM(16206,16214) = 131382042

Factors of 16206

List of positive integer factors of 16206 that divides 16206 without a remainder.

1, 2, 3, 6, 37, 73, 74, 111, 146, 219, 222, 438, 2701, 5402, 8103, 16206

Factors of 16214

List of positive integer factors of 16214 that divides 16214 without a remainder.

1, 2, 11, 22, 67, 121, 134, 242, 737, 1474, 8107, 16214

Least Common Multiple of 16206 and 16214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16206 and 16214, than apply into the LCM equation.

GCF(16206,16214) = 2
LCM(16206,16214) = ( 16206 × 16214) / 2
LCM(16206,16214) = 262764084 / 2
LCM(16206,16214) = 131382042

Properties of LCM 16206 and 16214

(i) The LCM of 16214 and 16206 is associative

LCM of 16206 and 16214 = LCM of 16214 and 16206

Related Least Common Multiples of 16206

Related Least Common Multiples of 16214

Frequently Asked Questions on LCM of 16206 and 16214

1. What is the LCM of 16206 and 16214?

Answer: LCM of 16206 and 16214 is 131382042.

2. What are the Factors of 16206?

Answer: Factors of 16206 are 1, 2, 3, 6, 37, 73, 74, 111, 146, 219, 222, 438, 2701, 5402, 8103, 16206. There are 16 integers that are factors of 16206. The greatest factor of 16206 is 16206.

3. What are the Factors of 16214?

Answer: Factors of 16214 are 1, 2, 11, 22, 67, 121, 134, 242, 737, 1474, 8107, 16214. There are 12 integers that are factors of 16214. The greatest factor of 16214 is 16214.

4. How to Find the LCM of 16206 and 16214?

Answer:

Least Common Multiple of 16206 and 16214 = 131382042

Step 1: Find the prime factorization of 16206

16206 = 2 x 3 x 37 x 73

Step 2: Find the prime factorization of 16214

16214 = 2 x 11 x 11 x 67

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

LCM = 131382042 = 2 x 3 x 11 x 11 x 37 x 67 x 73

Step 4: Therefore, the least common multiple of 16206 and 16214 is 131382042.