Least Common Multiple of 1205 and 1211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1205 and 1211 the smallest integer that is 1459255 that is divisible by both numbers.

Least Common Multiple (LCM) of 1205 and 1211 is 1459255.

LCM(1205,1211) = 1459255

LCM of 1205 and 1211

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

LCM of:
and

Least Common Multiple of 1205 and 1211

LCM of 1205 and 1211 is 1459255

Least common multiple can be found by multiplying the highest exponent prime factors of 1205 and 1211. First we will calculate the prime factors of 1205 and 1211.

Prime Factorization of 1205


5 1205
241 241
1

Prime factors of 1205 are 5,241. Prime factorization of 1205 in exponential form is:

1205 = 51×2411

Prime Factorization of 1211


7 1211
173 173
1

Prime factors of 1211 are 7,173. Prime factorization of 1211 in exponential form is:

1211 = 71×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 1205 and 1211.

LCM(1205,1211) = 51×71×1731×2411
LCM(1205,1211) = 1459255

Factors of 1205

List of positive integer factors of 1205 that divides 1205 without a remainder.

1, 5, 241, 1205

Factors of 1211

List of positive integer factors of 1211 that divides 1211 without a remainder.

1, 7, 173, 1211

Least Common Multiple of 1205 and 1211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1205 and 1211, than apply into the LCM equation.

GCF(1205,1211) = 1
LCM(1205,1211) = ( 1205 × 1211) / 1
LCM(1205,1211) = 1459255 / 1
LCM(1205,1211) = 1459255

Properties of LCM 1205 and 1211

(i) The LCM of 1211 and 1205 is associative

LCM of 1205 and 1211 = LCM of 1211 and 1205

Related Least Common Multiples of 1205

Related Least Common Multiples of 1211

Frequently Asked Questions on LCM of 1205 and 1211

1. What is the LCM of 1205 and 1211?

Answer: LCM of 1205 and 1211 is 1459255.

2. What are the Factors of 1205?

Answer: Factors of 1205 are 1, 5, 241, 1205. There are 4 integers that are factors of 1205. The greatest factor of 1205 is 1205.

3. What are the Factors of 1211?

Answer: Factors of 1211 are 1, 7, 173, 1211. There are 4 integers that are factors of 1211. The greatest factor of 1211 is 1211.

4. How to Find the LCM of 1205 and 1211?

Answer:

Least Common Multiple of 1205 and 1211 = 1459255

Step 1: Find the prime factorization of 1205

1205 = 5 x 241

Step 2: Find the prime factorization of 1211

1211 = 7 x 173

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

LCM = 1459255 = 5 x 7 x 173 x 241

Step 4: Therefore, the least common multiple of 1205 and 1211 is 1459255.