Least Common Multiple of 1206 and 1214

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 1214 the smallest integer that is 732042 that is divisible by both numbers.

Least Common Multiple (LCM) of 1206 and 1214 is 732042.

LCM(1206,1214) = 732042

LCM of 1206 and 1214

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

LCM of:
and

Least Common Multiple of 1206 and 1214

LCM of 1206 and 1214 is 732042

Least common multiple can be found by multiplying the highest exponent prime factors of 1206 and 1214. First we will calculate the prime factors of 1206 and 1214.

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 1214


2 1214
607 607
1

Prime factors of 1214 are 2,607. Prime factorization of 1214 in exponential form is:

1214 = 21×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 1206 and 1214.

LCM(1206,1214) = 21×32×671×6071
LCM(1206,1214) = 732042

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 1214

List of positive integer factors of 1214 that divides 1214 without a remainder.

1, 2, 607, 1214

Least Common Multiple of 1206 and 1214 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 1214, than apply into the LCM equation.

GCF(1206,1214) = 2
LCM(1206,1214) = ( 1206 × 1214) / 2
LCM(1206,1214) = 1464084 / 2
LCM(1206,1214) = 732042

Properties of LCM 1206 and 1214

(i) The LCM of 1214 and 1206 is associative

LCM of 1206 and 1214 = LCM of 1214 and 1206

Related Least Common Multiples of 1206

Related Least Common Multiples of 1214

Frequently Asked Questions on LCM of 1206 and 1214

1. What is the LCM of 1206 and 1214?

Answer: LCM of 1206 and 1214 is 732042.

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 1214?

Answer: Factors of 1214 are 1, 2, 607, 1214. There are 4 integers that are factors of 1214. The greatest factor of 1214 is 1214.

4. How to Find the LCM of 1206 and 1214?

Answer:

Least Common Multiple of 1206 and 1214 = 732042

Step 1: Find the prime factorization of 1206

1206 = 2 x 3 x 3 x 67

Step 2: Find the prime factorization of 1214

1214 = 2 x 607

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

LCM = 732042 = 2 x 3 x 3 x 67 x 607

Step 4: Therefore, the least common multiple of 1206 and 1214 is 732042.