Least Common Multiple of 1205 and 1208

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 1208 the smallest integer that is 1455640 that is divisible by both numbers.

Least Common Multiple (LCM) of 1205 and 1208 is 1455640.

LCM(1205,1208) = 1455640

LCM of 1205 and 1208

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

LCM of:
and

Least Common Multiple of 1205 and 1208

LCM of 1205 and 1208 is 1455640

Least common multiple can be found by multiplying the highest exponent prime factors of 1205 and 1208. First we will calculate the prime factors of 1205 and 1208.

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 1208


2 1208
2 604
2 302
151 151
1

Prime factors of 1208 are 2,151. Prime factorization of 1208 in exponential form is:

1208 = 23×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 1205 and 1208.

LCM(1205,1208) = 23×51×1511×2411
LCM(1205,1208) = 1455640

Factors of 1205

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

1, 5, 241, 1205

Factors of 1208

List of positive integer factors of 1208 that divides 1208 without a remainder.

1, 2, 4, 8, 151, 302, 604, 1208

Least Common Multiple of 1205 and 1208 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 1208, than apply into the LCM equation.

GCF(1205,1208) = 1
LCM(1205,1208) = ( 1205 × 1208) / 1
LCM(1205,1208) = 1455640 / 1
LCM(1205,1208) = 1455640

Properties of LCM 1205 and 1208

(i) The LCM of 1208 and 1205 is associative

LCM of 1205 and 1208 = LCM of 1208 and 1205

Related Least Common Multiples of 1205

Related Least Common Multiples of 1208

Frequently Asked Questions on LCM of 1205 and 1208

1. What is the LCM of 1205 and 1208?

Answer: LCM of 1205 and 1208 is 1455640.

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 1208?

Answer: Factors of 1208 are 1, 2, 4, 8, 151, 302, 604, 1208. There are 8 integers that are factors of 1208. The greatest factor of 1208 is 1208.

4. How to Find the LCM of 1205 and 1208?

Answer:

Least Common Multiple of 1205 and 1208 = 1455640

Step 1: Find the prime factorization of 1205

1205 = 5 x 241

Step 2: Find the prime factorization of 1208

1208 = 2 x 2 x 2 x 151

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

LCM = 1455640 = 2 x 2 x 2 x 5 x 151 x 241

Step 4: Therefore, the least common multiple of 1205 and 1208 is 1455640.