Least Common Multiple of 209 and 211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 209 and 211 the smallest integer that is 44099 that is divisible by both numbers.

Least Common Multiple (LCM) of 209 and 211 is 44099.

LCM(209,211) = 44099

LCM of 209 and 211

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

LCM of:
and

Least Common Multiple of 209 and 211

LCM of 209 and 211 is 44099

Least common multiple can be found by multiplying the highest exponent prime factors of 209 and 211. First we will calculate the prime factors of 209 and 211.

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

Prime Factorization of 211


211 211
1

Prime factors of 211 are 211. Prime factorization of 211 in exponential form is:

211 = 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 209 and 211.

LCM(209,211) = 111×191×2111
LCM(209,211) = 44099

Factors of 209

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

1, 11, 19, 209

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1, 211

Least Common Multiple of 209 and 211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 209 and 211, than apply into the LCM equation.

GCF(209,211) = 1
LCM(209,211) = ( 209 × 211) / 1
LCM(209,211) = 44099 / 1
LCM(209,211) = 44099

Properties of LCM 209 and 211

(i) The LCM of 211 and 209 is associative

LCM of 209 and 211 = LCM of 211 and 209

Related Least Common Multiples of 209

Related Least Common Multiples of 211

Frequently Asked Questions on LCM of 209 and 211

1. What is the LCM of 209 and 211?

Answer: LCM of 209 and 211 is 44099.

2. 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.

3. What are the Factors of 211?

Answer: Factors of 211 are 1, 211. There are 2 integers that are factors of 211. The greatest factor of 211 is 211.

4. How to Find the LCM of 209 and 211?

Answer:

Least Common Multiple of 209 and 211 = 44099

Step 1: Find the prime factorization of 209

209 = 11 x 19

Step 2: Find the prime factorization of 211

211 = 211

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

LCM = 44099 = 11 x 19 x 211

Step 4: Therefore, the least common multiple of 209 and 211 is 44099.