Least Common Multiple of 1204 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 1204 and 1206 the smallest integer that is 726012 that is divisible by both numbers.

Least Common Multiple (LCM) of 1204 and 1206 is 726012.

LCM(1204,1206) = 726012

LCM of 1204 and 1206

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

LCM of:
and

Least Common Multiple of 1204 and 1206

LCM of 1204 and 1206 is 726012

Least common multiple can be found by multiplying the highest exponent prime factors of 1204 and 1206. First we will calculate the prime factors of 1204 and 1206.

Prime Factorization of 1204


2 1204
2 602
7 301
43 43
1

Prime factors of 1204 are 2, 7,43. Prime factorization of 1204 in exponential form is:

1204 = 22×71×431

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 1204 and 1206.

LCM(1204,1206) = 22×32×71×431×671
LCM(1204,1206) = 726012

Factors of 1204

List of positive integer factors of 1204 that divides 1204 without a remainder.

1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204

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 1204 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 1204 and 1206, than apply into the LCM equation.

GCF(1204,1206) = 2
LCM(1204,1206) = ( 1204 × 1206) / 2
LCM(1204,1206) = 1452024 / 2
LCM(1204,1206) = 726012

Properties of LCM 1204 and 1206

(i) The LCM of 1206 and 1204 is associative

LCM of 1204 and 1206 = LCM of 1206 and 1204

Related Least Common Multiples of 1204

Related Least Common Multiples of 1206

Frequently Asked Questions on LCM of 1204 and 1206

1. What is the LCM of 1204 and 1206?

Answer: LCM of 1204 and 1206 is 726012.

2. What are the Factors of 1204?

Answer: Factors of 1204 are 1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204. There are 12 integers that are factors of 1204. The greatest factor of 1204 is 1204.

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 1204 and 1206?

Answer:

Least Common Multiple of 1204 and 1206 = 726012

Step 1: Find the prime factorization of 1204

1204 = 2 x 2 x 7 x 43

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 = 726012 = 2 x 2 x 3 x 3 x 7 x 43 x 67

Step 4: Therefore, the least common multiple of 1204 and 1206 is 726012.