Least Common Multiple of 209 and 215

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 215 the smallest integer that is 44935 that is divisible by both numbers.

Least Common Multiple (LCM) of 209 and 215 is 44935.

LCM(209,215) = 44935

LCM of 209 and 215

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

LCM of:
and

Least Common Multiple of 209 and 215

LCM of 209 and 215 is 44935

Least common multiple can be found by multiplying the highest exponent prime factors of 209 and 215. First we will calculate the prime factors of 209 and 215.

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 215


5 215
43 43
1

Prime factors of 215 are 5,43. Prime factorization of 215 in exponential form is:

215 = 51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 209 and 215.

LCM(209,215) = 51×111×191×431
LCM(209,215) = 44935

Factors of 209

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

1, 11, 19, 209

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Least Common Multiple of 209 and 215 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 215, than apply into the LCM equation.

GCF(209,215) = 1
LCM(209,215) = ( 209 × 215) / 1
LCM(209,215) = 44935 / 1
LCM(209,215) = 44935

Properties of LCM 209 and 215

(i) The LCM of 215 and 209 is associative

LCM of 209 and 215 = LCM of 215 and 209

Related Least Common Multiples of 209

Related Least Common Multiples of 215

Frequently Asked Questions on LCM of 209 and 215

1. What is the LCM of 209 and 215?

Answer: LCM of 209 and 215 is 44935.

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 215?

Answer: Factors of 215 are 1, 5, 43, 215. There are 4 integers that are factors of 215. The greatest factor of 215 is 215.

4. How to Find the LCM of 209 and 215?

Answer:

Least Common Multiple of 209 and 215 = 44935

Step 1: Find the prime factorization of 209

209 = 11 x 19

Step 2: Find the prime factorization of 215

215 = 5 x 43

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

LCM = 44935 = 5 x 11 x 19 x 43

Step 4: Therefore, the least common multiple of 209 and 215 is 44935.