Least Common Multiple of 206 and 213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 206 and 213 the smallest integer that is 43878 that is divisible by both numbers.

Least Common Multiple (LCM) of 206 and 213 is 43878.

LCM(206,213) = 43878

LCM of 206 and 213

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

LCM of:
and

Least Common Multiple of 206 and 213

LCM of 206 and 213 is 43878

Least common multiple can be found by multiplying the highest exponent prime factors of 206 and 213. First we will calculate the prime factors of 206 and 213.

Prime Factorization of 206


2 206
103 103
1

Prime factors of 206 are 2,103. Prime factorization of 206 in exponential form is:

206 = 21×1031

Prime Factorization of 213


3 213
71 71
1

Prime factors of 213 are 3,71. Prime factorization of 213 in exponential form is:

213 = 31×711

Now multiplying the highest exponent prime factors to calculate the LCM of 206 and 213.

LCM(206,213) = 21×31×711×1031
LCM(206,213) = 43878

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Least Common Multiple of 206 and 213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 206 and 213, than apply into the LCM equation.

GCF(206,213) = 1
LCM(206,213) = ( 206 × 213) / 1
LCM(206,213) = 43878 / 1
LCM(206,213) = 43878

Properties of LCM 206 and 213

(i) The LCM of 213 and 206 is associative

LCM of 206 and 213 = LCM of 213 and 206

Related Least Common Multiples of 206

Related Least Common Multiples of 213

Frequently Asked Questions on LCM of 206 and 213

1. What is the LCM of 206 and 213?

Answer: LCM of 206 and 213 is 43878.

2. What are the Factors of 206?

Answer: Factors of 206 are 1, 2, 103, 206. There are 4 integers that are factors of 206. The greatest factor of 206 is 206.

3. What are the Factors of 213?

Answer: Factors of 213 are 1, 3, 71, 213. There are 4 integers that are factors of 213. The greatest factor of 213 is 213.

4. How to Find the LCM of 206 and 213?

Answer:

Least Common Multiple of 206 and 213 = 43878

Step 1: Find the prime factorization of 206

206 = 2 x 103

Step 2: Find the prime factorization of 213

213 = 3 x 71

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

LCM = 43878 = 2 x 3 x 71 x 103

Step 4: Therefore, the least common multiple of 206 and 213 is 43878.