Least Common Multiple of 206 and 209

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 209 the smallest integer that is 43054 that is divisible by both numbers.

Least Common Multiple (LCM) of 206 and 209 is 43054.

LCM(206,209) = 43054

LCM of 206 and 209

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

LCM of:
and

Least Common Multiple of 206 and 209

LCM of 206 and 209 is 43054

Least common multiple can be found by multiplying the highest exponent prime factors of 206 and 209. First we will calculate the prime factors of 206 and 209.

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 209


11 209
19 19
1

Prime factors of 209 are 11,19. Prime factorization of 209 in exponential form is:

209 = 111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 206 and 209.

LCM(206,209) = 21×111×191×1031
LCM(206,209) = 43054

Factors of 206

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

1, 2, 103, 206

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Least Common Multiple of 206 and 209 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 209, than apply into the LCM equation.

GCF(206,209) = 1
LCM(206,209) = ( 206 × 209) / 1
LCM(206,209) = 43054 / 1
LCM(206,209) = 43054

Properties of LCM 206 and 209

(i) The LCM of 209 and 206 is associative

LCM of 206 and 209 = LCM of 209 and 206

Related Least Common Multiples of 206

Related Least Common Multiples of 209

Frequently Asked Questions on LCM of 206 and 209

1. What is the LCM of 206 and 209?

Answer: LCM of 206 and 209 is 43054.

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 209?

Answer: Factors of 209 are 1, 11, 19, 209. There are 4 integers that are factors of 209. The greatest factor of 209 is 209.

4. How to Find the LCM of 206 and 209?

Answer:

Least Common Multiple of 206 and 209 = 43054

Step 1: Find the prime factorization of 206

206 = 2 x 103

Step 2: Find the prime factorization of 209

209 = 11 x 19

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

LCM = 43054 = 2 x 11 x 19 x 103

Step 4: Therefore, the least common multiple of 206 and 209 is 43054.