Least Common Multiple of 1201 and 1205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1201 and 1205 the smallest integer that is 1447205 that is divisible by both numbers.

Least Common Multiple (LCM) of 1201 and 1205 is 1447205.

LCM(1201,1205) = 1447205

LCM of 1201 and 1205

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

LCM of:
and

Least Common Multiple of 1201 and 1205

LCM of 1201 and 1205 is 1447205

Least common multiple can be found by multiplying the highest exponent prime factors of 1201 and 1205. First we will calculate the prime factors of 1201 and 1205.

Prime Factorization of 1201


1201 1201
1

Prime factors of 1201 are 1201. Prime factorization of 1201 in exponential form is:

1201 = 12011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1201 and 1205.

LCM(1201,1205) = 51×2411×12011
LCM(1201,1205) = 1447205

Factors of 1201

List of positive integer factors of 1201 that divides 1201 without a remainder.

1, 1201

Factors of 1205

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

1, 5, 241, 1205

Least Common Multiple of 1201 and 1205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1201 and 1205, than apply into the LCM equation.

GCF(1201,1205) = 1
LCM(1201,1205) = ( 1201 × 1205) / 1
LCM(1201,1205) = 1447205 / 1
LCM(1201,1205) = 1447205

Properties of LCM 1201 and 1205

(i) The LCM of 1205 and 1201 is associative

LCM of 1201 and 1205 = LCM of 1205 and 1201

Related Least Common Multiples of 1201

Related Least Common Multiples of 1205

Frequently Asked Questions on LCM of 1201 and 1205

1. What is the LCM of 1201 and 1205?

Answer: LCM of 1201 and 1205 is 1447205.

2. What are the Factors of 1201?

Answer: Factors of 1201 are 1, 1201. There are 2 integers that are factors of 1201. The greatest factor of 1201 is 1201.

3. 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.

4. How to Find the LCM of 1201 and 1205?

Answer:

Least Common Multiple of 1201 and 1205 = 1447205

Step 1: Find the prime factorization of 1201

1201 = 1201

Step 2: Find the prime factorization of 1205

1205 = 5 x 241

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

LCM = 1447205 = 5 x 241 x 1201

Step 4: Therefore, the least common multiple of 1201 and 1205 is 1447205.