Least Common Multiple of 203 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 203 and 209 the smallest integer that is 42427 that is divisible by both numbers.

Least Common Multiple (LCM) of 203 and 209 is 42427.

LCM(203,209) = 42427

LCM of 203 and 209

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

LCM of:
and

Least Common Multiple of 203 and 209

LCM of 203 and 209 is 42427

Least common multiple can be found by multiplying the highest exponent prime factors of 203 and 209. First we will calculate the prime factors of 203 and 209.

Prime Factorization of 203


7 203
29 29
1

Prime factors of 203 are 7,29. Prime factorization of 203 in exponential form is:

203 = 71×291

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 203 and 209.

LCM(203,209) = 71×111×191×291
LCM(203,209) = 42427

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Factors of 209

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

1, 11, 19, 209

Least Common Multiple of 203 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 203 and 209, than apply into the LCM equation.

GCF(203,209) = 1
LCM(203,209) = ( 203 × 209) / 1
LCM(203,209) = 42427 / 1
LCM(203,209) = 42427

Properties of LCM 203 and 209

(i) The LCM of 209 and 203 is associative

LCM of 203 and 209 = LCM of 209 and 203

Related Least Common Multiples of 203

Related Least Common Multiples of 209

Frequently Asked Questions on LCM of 203 and 209

1. What is the LCM of 203 and 209?

Answer: LCM of 203 and 209 is 42427.

2. What are the Factors of 203?

Answer: Factors of 203 are 1, 7, 29, 203. There are 4 integers that are factors of 203. The greatest factor of 203 is 203.

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 203 and 209?

Answer:

Least Common Multiple of 203 and 209 = 42427

Step 1: Find the prime factorization of 203

203 = 7 x 29

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 = 42427 = 7 x 11 x 19 x 29

Step 4: Therefore, the least common multiple of 203 and 209 is 42427.