Least Common Multiple of 204 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 204 and 211 the smallest integer that is 43044 that is divisible by both numbers.

Least Common Multiple (LCM) of 204 and 211 is 43044.

LCM(204,211) = 43044

LCM of 204 and 211

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

LCM of:
and

Least Common Multiple of 204 and 211

LCM of 204 and 211 is 43044

Least common multiple can be found by multiplying the highest exponent prime factors of 204 and 211. First we will calculate the prime factors of 204 and 211.

Prime Factorization of 204


2 204
2 102
3 51
17 17
1

Prime factors of 204 are 2, 3,17. Prime factorization of 204 in exponential form is:

204 = 22×31×171

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 204 and 211.

LCM(204,211) = 22×31×171×2111
LCM(204,211) = 43044

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Factors of 211

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

1, 211

Least Common Multiple of 204 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 204 and 211, than apply into the LCM equation.

GCF(204,211) = 1
LCM(204,211) = ( 204 × 211) / 1
LCM(204,211) = 43044 / 1
LCM(204,211) = 43044

Properties of LCM 204 and 211

(i) The LCM of 211 and 204 is associative

LCM of 204 and 211 = LCM of 211 and 204

Related Least Common Multiples of 204

Related Least Common Multiples of 211

Frequently Asked Questions on LCM of 204 and 211

1. What is the LCM of 204 and 211?

Answer: LCM of 204 and 211 is 43044.

2. What are the Factors of 204?

Answer: Factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204. There are 12 integers that are factors of 204. The greatest factor of 204 is 204.

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 204 and 211?

Answer:

Least Common Multiple of 204 and 211 = 43044

Step 1: Find the prime factorization of 204

204 = 2 x 2 x 3 x 17

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 = 43044 = 2 x 2 x 3 x 17 x 211

Step 4: Therefore, the least common multiple of 204 and 211 is 43044.