Least Common Multiple of 203 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 203 and 211 the smallest integer that is 42833 that is divisible by both numbers.

Least Common Multiple (LCM) of 203 and 211 is 42833.

LCM(203,211) = 42833

LCM of 203 and 211

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

LCM of:
and

Least Common Multiple of 203 and 211

LCM of 203 and 211 is 42833

Least common multiple can be found by multiplying the highest exponent prime factors of 203 and 211. First we will calculate the prime factors of 203 and 211.

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 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 203 and 211.

LCM(203,211) = 71×291×2111
LCM(203,211) = 42833

Factors of 203

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

1, 7, 29, 203

Factors of 211

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

1, 211

Least Common Multiple of 203 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 203 and 211, than apply into the LCM equation.

GCF(203,211) = 1
LCM(203,211) = ( 203 × 211) / 1
LCM(203,211) = 42833 / 1
LCM(203,211) = 42833

Properties of LCM 203 and 211

(i) The LCM of 211 and 203 is associative

LCM of 203 and 211 = LCM of 211 and 203

Related Least Common Multiples of 203

Related Least Common Multiples of 211

Frequently Asked Questions on LCM of 203 and 211

1. What is the LCM of 203 and 211?

Answer: LCM of 203 and 211 is 42833.

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 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 203 and 211?

Answer:

Least Common Multiple of 203 and 211 = 42833

Step 1: Find the prime factorization of 203

203 = 7 x 29

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 = 42833 = 7 x 29 x 211

Step 4: Therefore, the least common multiple of 203 and 211 is 42833.