Least Common Multiple of 205 and 206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 205 and 206 the smallest integer that is 42230 that is divisible by both numbers.

Least Common Multiple (LCM) of 205 and 206 is 42230.

LCM(205,206) = 42230

LCM of 205 and 206

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

LCM of:
and

Least Common Multiple of 205 and 206

LCM of 205 and 206 is 42230

Least common multiple can be found by multiplying the highest exponent prime factors of 205 and 206. First we will calculate the prime factors of 205 and 206.

Prime Factorization of 205


5 205
41 41
1

Prime factors of 205 are 5,41. Prime factorization of 205 in exponential form is:

205 = 51×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 205 and 206.

LCM(205,206) = 21×51×411×1031
LCM(205,206) = 42230

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Factors of 206

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

1, 2, 103, 206

Least Common Multiple of 205 and 206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 205 and 206, than apply into the LCM equation.

GCF(205,206) = 1
LCM(205,206) = ( 205 × 206) / 1
LCM(205,206) = 42230 / 1
LCM(205,206) = 42230

Properties of LCM 205 and 206

(i) The LCM of 206 and 205 is associative

LCM of 205 and 206 = LCM of 206 and 205

Related Least Common Multiples of 205

Related Least Common Multiples of 206

Frequently Asked Questions on LCM of 205 and 206

1. What is the LCM of 205 and 206?

Answer: LCM of 205 and 206 is 42230.

2. What are the Factors of 205?

Answer: Factors of 205 are 1, 5, 41, 205. There are 4 integers that are factors of 205. The greatest factor of 205 is 205.

3. 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.

4. How to Find the LCM of 205 and 206?

Answer:

Least Common Multiple of 205 and 206 = 42230

Step 1: Find the prime factorization of 205

205 = 5 x 41

Step 2: Find the prime factorization of 206

206 = 2 x 103

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

LCM = 42230 = 2 x 5 x 41 x 103

Step 4: Therefore, the least common multiple of 205 and 206 is 42230.