Least Common Multiple of 1206 and 1209

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 1209 the smallest integer that is 486018 that is divisible by both numbers.

Least Common Multiple (LCM) of 1206 and 1209 is 486018.

LCM(1206,1209) = 486018

LCM of 1206 and 1209

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

LCM of:
and

Least Common Multiple of 1206 and 1209

LCM of 1206 and 1209 is 486018

Least common multiple can be found by multiplying the highest exponent prime factors of 1206 and 1209. First we will calculate the prime factors of 1206 and 1209.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1206 and 1209.

LCM(1206,1209) = 21×32×131×311×671
LCM(1206,1209) = 486018

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 1209

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

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

Least Common Multiple of 1206 and 1209 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 1209, than apply into the LCM equation.

GCF(1206,1209) = 3
LCM(1206,1209) = ( 1206 × 1209) / 3
LCM(1206,1209) = 1458054 / 3
LCM(1206,1209) = 486018

Properties of LCM 1206 and 1209

(i) The LCM of 1209 and 1206 is associative

LCM of 1206 and 1209 = LCM of 1209 and 1206

Related Least Common Multiples of 1206

Related Least Common Multiples of 1209

Frequently Asked Questions on LCM of 1206 and 1209

1. What is the LCM of 1206 and 1209?

Answer: LCM of 1206 and 1209 is 486018.

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 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.

4. How to Find the LCM of 1206 and 1209?

Answer:

Least Common Multiple of 1206 and 1209 = 486018

Step 1: Find the prime factorization of 1206

1206 = 2 x 3 x 3 x 67

Step 2: Find the prime factorization of 1209

1209 = 3 x 13 x 31

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

LCM = 486018 = 2 x 3 x 3 x 13 x 31 x 67

Step 4: Therefore, the least common multiple of 1206 and 1209 is 486018.