Least Common Multiple of 1209 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 1209 and 1211 the smallest integer that is 1464099 that is divisible by both numbers.

Least Common Multiple (LCM) of 1209 and 1211 is 1464099.

LCM(1209,1211) = 1464099

LCM of 1209 and 1211

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

LCM of:
and

Least Common Multiple of 1209 and 1211

LCM of 1209 and 1211 is 1464099

Least common multiple can be found by multiplying the highest exponent prime factors of 1209 and 1211. First we will calculate the prime factors of 1209 and 1211.

Prime Factorization of 1209


3 1209
13 403
31 31
1

Prime factors of 1209 are 3, 13,31. Prime factorization of 1209 in exponential form is:

1209 = 31×131×311

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 1209 and 1211.

LCM(1209,1211) = 31×71×131×311×1731
LCM(1209,1211) = 1464099

Factors of 1209

List of positive integer factors of 1209 that divides 1209 without a remainder.

1, 3, 13, 31, 39, 93, 403, 1209

Factors of 1211

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

1, 7, 173, 1211

Least Common Multiple of 1209 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 1209 and 1211, than apply into the LCM equation.

GCF(1209,1211) = 1
LCM(1209,1211) = ( 1209 × 1211) / 1
LCM(1209,1211) = 1464099 / 1
LCM(1209,1211) = 1464099

Properties of LCM 1209 and 1211

(i) The LCM of 1211 and 1209 is associative

LCM of 1209 and 1211 = LCM of 1211 and 1209

Related Least Common Multiples of 1209

Related Least Common Multiples of 1211

Frequently Asked Questions on LCM of 1209 and 1211

1. What is the LCM of 1209 and 1211?

Answer: LCM of 1209 and 1211 is 1464099.

2. What are the Factors of 1209?

Answer: Factors of 1209 are 1, 3, 13, 31, 39, 93, 403, 1209. There are 8 integers that are factors of 1209. The greatest factor of 1209 is 1209.

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 1209 and 1211?

Answer:

Least Common Multiple of 1209 and 1211 = 1464099

Step 1: Find the prime factorization of 1209

1209 = 3 x 13 x 31

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 = 1464099 = 3 x 7 x 13 x 31 x 173

Step 4: Therefore, the least common multiple of 1209 and 1211 is 1464099.