Least Common Multiple of 1206 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 1206 and 1211 the smallest integer that is 1460466 that is divisible by both numbers.

Least Common Multiple (LCM) of 1206 and 1211 is 1460466.

LCM(1206,1211) = 1460466

LCM of 1206 and 1211

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

LCM of:
and

Least Common Multiple of 1206 and 1211

LCM of 1206 and 1211 is 1460466

Least common multiple can be found by multiplying the highest exponent prime factors of 1206 and 1211. First we will calculate the prime factors of 1206 and 1211.

Prime Factorization of 1206


2 1206
3 603
3 201
67 67
1

Prime factors of 1206 are 2, 3,67. Prime factorization of 1206 in exponential form is:

1206 = 21×32×671

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 1206 and 1211.

LCM(1206,1211) = 21×32×71×671×1731
LCM(1206,1211) = 1460466

Factors of 1206

List of positive integer factors of 1206 that divides 1206 without a remainder.

1, 2, 3, 6, 9, 18, 67, 134, 201, 402, 603, 1206

Factors of 1211

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

1, 7, 173, 1211

Least Common Multiple of 1206 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 1206 and 1211, than apply into the LCM equation.

GCF(1206,1211) = 1
LCM(1206,1211) = ( 1206 × 1211) / 1
LCM(1206,1211) = 1460466 / 1
LCM(1206,1211) = 1460466

Properties of LCM 1206 and 1211

(i) The LCM of 1211 and 1206 is associative

LCM of 1206 and 1211 = LCM of 1211 and 1206

Related Least Common Multiples of 1206

Related Least Common Multiples of 1211

Frequently Asked Questions on LCM of 1206 and 1211

1. What is the LCM of 1206 and 1211?

Answer: LCM of 1206 and 1211 is 1460466.

2. What are the Factors of 1206?

Answer: Factors of 1206 are 1, 2, 3, 6, 9, 18, 67, 134, 201, 402, 603, 1206. There are 12 integers that are factors of 1206. The greatest factor of 1206 is 1206.

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 1206 and 1211?

Answer:

Least Common Multiple of 1206 and 1211 = 1460466

Step 1: Find the prime factorization of 1206

1206 = 2 x 3 x 3 x 67

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 = 1460466 = 2 x 3 x 3 x 7 x 67 x 173

Step 4: Therefore, the least common multiple of 1206 and 1211 is 1460466.