Least Common Multiple of 207 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 207 and 209 the smallest integer that is 43263 that is divisible by both numbers.

Least Common Multiple (LCM) of 207 and 209 is 43263.

LCM(207,209) = 43263

LCM of 207 and 209

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

LCM of:
and

Least Common Multiple of 207 and 209

LCM of 207 and 209 is 43263

Least common multiple can be found by multiplying the highest exponent prime factors of 207 and 209. First we will calculate the prime factors of 207 and 209.

Prime Factorization of 207


3 207
3 69
23 23
1

Prime factors of 207 are 3,23. Prime factorization of 207 in exponential form is:

207 = 32×231

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 207 and 209.

LCM(207,209) = 32×111×191×231
LCM(207,209) = 43263

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Factors of 209

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

1, 11, 19, 209

Least Common Multiple of 207 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 207 and 209, than apply into the LCM equation.

GCF(207,209) = 1
LCM(207,209) = ( 207 × 209) / 1
LCM(207,209) = 43263 / 1
LCM(207,209) = 43263

Properties of LCM 207 and 209

(i) The LCM of 209 and 207 is associative

LCM of 207 and 209 = LCM of 209 and 207

Related Least Common Multiples of 207

Related Least Common Multiples of 209

Frequently Asked Questions on LCM of 207 and 209

1. What is the LCM of 207 and 209?

Answer: LCM of 207 and 209 is 43263.

2. What are the Factors of 207?

Answer: Factors of 207 are 1, 3, 9, 23, 69, 207. There are 6 integers that are factors of 207. The greatest factor of 207 is 207.

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 207 and 209?

Answer:

Least Common Multiple of 207 and 209 = 43263

Step 1: Find the prime factorization of 207

207 = 3 x 3 x 23

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 = 43263 = 3 x 3 x 11 x 19 x 23

Step 4: Therefore, the least common multiple of 207 and 209 is 43263.