Least Common Multiple of 1205 and 1213

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 1213 the smallest integer that is 1461665 that is divisible by both numbers.

Least Common Multiple (LCM) of 1205 and 1213 is 1461665.

LCM(1205,1213) = 1461665

LCM of 1205 and 1213

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

LCM of:
and

Least Common Multiple of 1205 and 1213

LCM of 1205 and 1213 is 1461665

Least common multiple can be found by multiplying the highest exponent prime factors of 1205 and 1213. First we will calculate the prime factors of 1205 and 1213.

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 1213


1213 1213
1

Prime factors of 1213 are 1213. Prime factorization of 1213 in exponential form is:

1213 = 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 1205 and 1213.

LCM(1205,1213) = 51×2411×12131
LCM(1205,1213) = 1461665

Factors of 1205

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

1, 5, 241, 1205

Factors of 1213

List of positive integer factors of 1213 that divides 1213 without a remainder.

1, 1213

Least Common Multiple of 1205 and 1213 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 1213, than apply into the LCM equation.

GCF(1205,1213) = 1
LCM(1205,1213) = ( 1205 × 1213) / 1
LCM(1205,1213) = 1461665 / 1
LCM(1205,1213) = 1461665

Properties of LCM 1205 and 1213

(i) The LCM of 1213 and 1205 is associative

LCM of 1205 and 1213 = LCM of 1213 and 1205

Related Least Common Multiples of 1205

Related Least Common Multiples of 1213

Frequently Asked Questions on LCM of 1205 and 1213

1. What is the LCM of 1205 and 1213?

Answer: LCM of 1205 and 1213 is 1461665.

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 1213?

Answer: Factors of 1213 are 1, 1213. There are 2 integers that are factors of 1213. The greatest factor of 1213 is 1213.

4. How to Find the LCM of 1205 and 1213?

Answer:

Least Common Multiple of 1205 and 1213 = 1461665

Step 1: Find the prime factorization of 1205

1205 = 5 x 241

Step 2: Find the prime factorization of 1213

1213 = 1213

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

LCM = 1461665 = 5 x 241 x 1213

Step 4: Therefore, the least common multiple of 1205 and 1213 is 1461665.