Least Common Multiple of 1205 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 1205 and 1210 the smallest integer that is 291610 that is divisible by both numbers.

Least Common Multiple (LCM) of 1205 and 1210 is 291610.

LCM(1205,1210) = 291610

LCM of 1205 and 1210

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

LCM of:
and

Least Common Multiple of 1205 and 1210

LCM of 1205 and 1210 is 291610

Least common multiple can be found by multiplying the highest exponent prime factors of 1205 and 1210. First we will calculate the prime factors of 1205 and 1210.

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 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 1205 and 1210.

LCM(1205,1210) = 21×51×112×2411
LCM(1205,1210) = 291610

Factors of 1205

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

1, 5, 241, 1205

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 1205 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 1205 and 1210, than apply into the LCM equation.

GCF(1205,1210) = 5
LCM(1205,1210) = ( 1205 × 1210) / 5
LCM(1205,1210) = 1458050 / 5
LCM(1205,1210) = 291610

Properties of LCM 1205 and 1210

(i) The LCM of 1210 and 1205 is associative

LCM of 1205 and 1210 = LCM of 1210 and 1205

Related Least Common Multiples of 1205

Related Least Common Multiples of 1210

Frequently Asked Questions on LCM of 1205 and 1210

1. What is the LCM of 1205 and 1210?

Answer: LCM of 1205 and 1210 is 291610.

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 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 1205 and 1210?

Answer:

Least Common Multiple of 1205 and 1210 = 291610

Step 1: Find the prime factorization of 1205

1205 = 5 x 241

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 = 291610 = 2 x 5 x 11 x 11 x 241

Step 4: Therefore, the least common multiple of 1205 and 1210 is 291610.