Least Common Multiple of 1203 and 1204

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 1204 the smallest integer that is 1448412 that is divisible by both numbers.

Least Common Multiple (LCM) of 1203 and 1204 is 1448412.

LCM(1203,1204) = 1448412

LCM of 1203 and 1204

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

LCM of:
and

Least Common Multiple of 1203 and 1204

LCM of 1203 and 1204 is 1448412

Least common multiple can be found by multiplying the highest exponent prime factors of 1203 and 1204. First we will calculate the prime factors of 1203 and 1204.

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 1204


2 1204
2 602
7 301
43 43
1

Prime factors of 1204 are 2, 7,43. Prime factorization of 1204 in exponential form is:

1204 = 22×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1203 and 1204.

LCM(1203,1204) = 22×31×71×431×4011
LCM(1203,1204) = 1448412

Factors of 1203

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

1, 3, 401, 1203

Factors of 1204

List of positive integer factors of 1204 that divides 1204 without a remainder.

1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204

Least Common Multiple of 1203 and 1204 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 1204, than apply into the LCM equation.

GCF(1203,1204) = 1
LCM(1203,1204) = ( 1203 × 1204) / 1
LCM(1203,1204) = 1448412 / 1
LCM(1203,1204) = 1448412

Properties of LCM 1203 and 1204

(i) The LCM of 1204 and 1203 is associative

LCM of 1203 and 1204 = LCM of 1204 and 1203

Related Least Common Multiples of 1203

Related Least Common Multiples of 1204

Frequently Asked Questions on LCM of 1203 and 1204

1. What is the LCM of 1203 and 1204?

Answer: LCM of 1203 and 1204 is 1448412.

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 1204?

Answer: Factors of 1204 are 1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204. There are 12 integers that are factors of 1204. The greatest factor of 1204 is 1204.

4. How to Find the LCM of 1203 and 1204?

Answer:

Least Common Multiple of 1203 and 1204 = 1448412

Step 1: Find the prime factorization of 1203

1203 = 3 x 401

Step 2: Find the prime factorization of 1204

1204 = 2 x 2 x 7 x 43

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

LCM = 1448412 = 2 x 2 x 3 x 7 x 43 x 401

Step 4: Therefore, the least common multiple of 1203 and 1204 is 1448412.