Least Common Multiple of 1206 and 1210

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 1210 the smallest integer that is 729630 that is divisible by both numbers.

Least Common Multiple (LCM) of 1206 and 1210 is 729630.

LCM(1206,1210) = 729630

LCM of 1206 and 1210

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

LCM of:
and

Least Common Multiple of 1206 and 1210

LCM of 1206 and 1210 is 729630

Least common multiple can be found by multiplying the highest exponent prime factors of 1206 and 1210. First we will calculate the prime factors of 1206 and 1210.

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 1210


2 1210
5 605
11 121
11 11
1

Prime factors of 1210 are 2, 5,11. Prime factorization of 1210 in exponential form is:

1210 = 21×51×112

Now multiplying the highest exponent prime factors to calculate the LCM of 1206 and 1210.

LCM(1206,1210) = 21×32×51×112×671
LCM(1206,1210) = 729630

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 1210

List of positive integer factors of 1210 that divides 1210 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210

Least Common Multiple of 1206 and 1210 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 1210, than apply into the LCM equation.

GCF(1206,1210) = 2
LCM(1206,1210) = ( 1206 × 1210) / 2
LCM(1206,1210) = 1459260 / 2
LCM(1206,1210) = 729630

Properties of LCM 1206 and 1210

(i) The LCM of 1210 and 1206 is associative

LCM of 1206 and 1210 = LCM of 1210 and 1206

Related Least Common Multiples of 1206

Related Least Common Multiples of 1210

Frequently Asked Questions on LCM of 1206 and 1210

1. What is the LCM of 1206 and 1210?

Answer: LCM of 1206 and 1210 is 729630.

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 1210?

Answer: Factors of 1210 are 1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210. There are 12 integers that are factors of 1210. The greatest factor of 1210 is 1210.

4. How to Find the LCM of 1206 and 1210?

Answer:

Least Common Multiple of 1206 and 1210 = 729630

Step 1: Find the prime factorization of 1206

1206 = 2 x 3 x 3 x 67

Step 2: Find the prime factorization of 1210

1210 = 2 x 5 x 11 x 11

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

LCM = 729630 = 2 x 3 x 3 x 5 x 11 x 11 x 67

Step 4: Therefore, the least common multiple of 1206 and 1210 is 729630.