Least Common Multiple of 203 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 203 and 206 the smallest integer that is 41818 that is divisible by both numbers.

Least Common Multiple (LCM) of 203 and 206 is 41818.

LCM(203,206) = 41818

LCM of 203 and 206

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

LCM of:
and

Least Common Multiple of 203 and 206

LCM of 203 and 206 is 41818

Least common multiple can be found by multiplying the highest exponent prime factors of 203 and 206. First we will calculate the prime factors of 203 and 206.

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 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 203 and 206.

LCM(203,206) = 21×71×291×1031
LCM(203,206) = 41818

Factors of 203

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

1, 7, 29, 203

Factors of 206

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

1, 2, 103, 206

Least Common Multiple of 203 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 203 and 206, than apply into the LCM equation.

GCF(203,206) = 1
LCM(203,206) = ( 203 × 206) / 1
LCM(203,206) = 41818 / 1
LCM(203,206) = 41818

Properties of LCM 203 and 206

(i) The LCM of 206 and 203 is associative

LCM of 203 and 206 = LCM of 206 and 203

Related Least Common Multiples of 203

Related Least Common Multiples of 206

Frequently Asked Questions on LCM of 203 and 206

1. What is the LCM of 203 and 206?

Answer: LCM of 203 and 206 is 41818.

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 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 203 and 206?

Answer:

Least Common Multiple of 203 and 206 = 41818

Step 1: Find the prime factorization of 203

203 = 7 x 29

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 = 41818 = 2 x 7 x 29 x 103

Step 4: Therefore, the least common multiple of 203 and 206 is 41818.