Least Common Multiple of 1206 and 1212

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 1212 the smallest integer that is 243612 that is divisible by both numbers.

Least Common Multiple (LCM) of 1206 and 1212 is 243612.

LCM(1206,1212) = 243612

LCM of 1206 and 1212

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

LCM of:
and

Least Common Multiple of 1206 and 1212

LCM of 1206 and 1212 is 243612

Least common multiple can be found by multiplying the highest exponent prime factors of 1206 and 1212. First we will calculate the prime factors of 1206 and 1212.

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 1212


2 1212
2 606
3 303
101 101
1

Prime factors of 1212 are 2, 3,101. Prime factorization of 1212 in exponential form is:

1212 = 22×31×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 1206 and 1212.

LCM(1206,1212) = 22×32×671×1011
LCM(1206,1212) = 243612

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 1212

List of positive integer factors of 1212 that divides 1212 without a remainder.

1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212

Least Common Multiple of 1206 and 1212 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 1212, than apply into the LCM equation.

GCF(1206,1212) = 6
LCM(1206,1212) = ( 1206 × 1212) / 6
LCM(1206,1212) = 1461672 / 6
LCM(1206,1212) = 243612

Properties of LCM 1206 and 1212

(i) The LCM of 1212 and 1206 is associative

LCM of 1206 and 1212 = LCM of 1212 and 1206

Related Least Common Multiples of 1206

Related Least Common Multiples of 1212

Frequently Asked Questions on LCM of 1206 and 1212

1. What is the LCM of 1206 and 1212?

Answer: LCM of 1206 and 1212 is 243612.

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 1212?

Answer: Factors of 1212 are 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212. There are 12 integers that are factors of 1212. The greatest factor of 1212 is 1212.

4. How to Find the LCM of 1206 and 1212?

Answer:

Least Common Multiple of 1206 and 1212 = 243612

Step 1: Find the prime factorization of 1206

1206 = 2 x 3 x 3 x 67

Step 2: Find the prime factorization of 1212

1212 = 2 x 2 x 3 x 101

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

LCM = 243612 = 2 x 2 x 3 x 3 x 67 x 101

Step 4: Therefore, the least common multiple of 1206 and 1212 is 243612.