Least Common Multiple of 1203 and 1209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1203 and 1209 the smallest integer that is 484809 that is divisible by both numbers.

Least Common Multiple (LCM) of 1203 and 1209 is 484809.

LCM(1203,1209) = 484809

LCM of 1203 and 1209

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

LCM of:
and

Least Common Multiple of 1203 and 1209

LCM of 1203 and 1209 is 484809

Least common multiple can be found by multiplying the highest exponent prime factors of 1203 and 1209. First we will calculate the prime factors of 1203 and 1209.

Prime Factorization of 1203


3 1203
401 401
1

Prime factors of 1203 are 3,401. Prime factorization of 1203 in exponential form is:

1203 = 31×4011

Prime Factorization of 1209


3 1209
13 403
31 31
1

Prime factors of 1209 are 3, 13,31. Prime factorization of 1209 in exponential form is:

1209 = 31×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1203 and 1209.

LCM(1203,1209) = 31×131×311×4011
LCM(1203,1209) = 484809

Factors of 1203

List of positive integer factors of 1203 that divides 1203 without a remainder.

1, 3, 401, 1203

Factors of 1209

List of positive integer factors of 1209 that divides 1209 without a remainder.

1, 3, 13, 31, 39, 93, 403, 1209

Least Common Multiple of 1203 and 1209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1203 and 1209, than apply into the LCM equation.

GCF(1203,1209) = 3
LCM(1203,1209) = ( 1203 × 1209) / 3
LCM(1203,1209) = 1454427 / 3
LCM(1203,1209) = 484809

Properties of LCM 1203 and 1209

(i) The LCM of 1209 and 1203 is associative

LCM of 1203 and 1209 = LCM of 1209 and 1203

Related Least Common Multiples of 1203

Related Least Common Multiples of 1209

Frequently Asked Questions on LCM of 1203 and 1209

1. What is the LCM of 1203 and 1209?

Answer: LCM of 1203 and 1209 is 484809.

2. What are the Factors of 1203?

Answer: Factors of 1203 are 1, 3, 401, 1203. There are 4 integers that are factors of 1203. The greatest factor of 1203 is 1203.

3. What are the Factors of 1209?

Answer: Factors of 1209 are 1, 3, 13, 31, 39, 93, 403, 1209. There are 8 integers that are factors of 1209. The greatest factor of 1209 is 1209.

4. How to Find the LCM of 1203 and 1209?

Answer:

Least Common Multiple of 1203 and 1209 = 484809

Step 1: Find the prime factorization of 1203

1203 = 3 x 401

Step 2: Find the prime factorization of 1209

1209 = 3 x 13 x 31

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

LCM = 484809 = 3 x 13 x 31 x 401

Step 4: Therefore, the least common multiple of 1203 and 1209 is 484809.