Least Common Multiple of 1205 and 1206

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 1206 the smallest integer that is 1453230 that is divisible by both numbers.

Least Common Multiple (LCM) of 1205 and 1206 is 1453230.

LCM(1205,1206) = 1453230

LCM of 1205 and 1206

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

LCM of:
and

Least Common Multiple of 1205 and 1206

LCM of 1205 and 1206 is 1453230

Least common multiple can be found by multiplying the highest exponent prime factors of 1205 and 1206. First we will calculate the prime factors of 1205 and 1206.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1205 and 1206.

LCM(1205,1206) = 21×32×51×671×2411
LCM(1205,1206) = 1453230

Factors of 1205

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

1, 5, 241, 1205

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

Least Common Multiple of 1205 and 1206 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 1206, than apply into the LCM equation.

GCF(1205,1206) = 1
LCM(1205,1206) = ( 1205 × 1206) / 1
LCM(1205,1206) = 1453230 / 1
LCM(1205,1206) = 1453230

Properties of LCM 1205 and 1206

(i) The LCM of 1206 and 1205 is associative

LCM of 1205 and 1206 = LCM of 1206 and 1205

Related Least Common Multiples of 1205

Related Least Common Multiples of 1206

Frequently Asked Questions on LCM of 1205 and 1206

1. What is the LCM of 1205 and 1206?

Answer: LCM of 1205 and 1206 is 1453230.

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 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.

4. How to Find the LCM of 1205 and 1206?

Answer:

Least Common Multiple of 1205 and 1206 = 1453230

Step 1: Find the prime factorization of 1205

1205 = 5 x 241

Step 2: Find the prime factorization of 1206

1206 = 2 x 3 x 3 x 67

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

LCM = 1453230 = 2 x 3 x 3 x 5 x 67 x 241

Step 4: Therefore, the least common multiple of 1205 and 1206 is 1453230.