Least Common Multiple of 1200 and 1203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1200 and 1203 the smallest integer that is 481200 that is divisible by both numbers.

Least Common Multiple (LCM) of 1200 and 1203 is 481200.

LCM(1200,1203) = 481200

LCM of 1200 and 1203

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

LCM of:
and

Least Common Multiple of 1200 and 1203

LCM of 1200 and 1203 is 481200

Least common multiple can be found by multiplying the highest exponent prime factors of 1200 and 1203. First we will calculate the prime factors of 1200 and 1203.

Prime Factorization of 1200


2 1200
2 600
2 300
2 150
3 75
5 25
5 5
1

Prime factors of 1200 are 2, 3,5. Prime factorization of 1200 in exponential form is:

1200 = 24×31×52

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1200 and 1203.

LCM(1200,1203) = 24×31×52×4011
LCM(1200,1203) = 481200

Factors of 1200

List of positive integer factors of 1200 that divides 1200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200

Factors of 1203

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

1, 3, 401, 1203

Least Common Multiple of 1200 and 1203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1200 and 1203, than apply into the LCM equation.

GCF(1200,1203) = 3
LCM(1200,1203) = ( 1200 × 1203) / 3
LCM(1200,1203) = 1443600 / 3
LCM(1200,1203) = 481200

Properties of LCM 1200 and 1203

(i) The LCM of 1203 and 1200 is associative

LCM of 1200 and 1203 = LCM of 1203 and 1200

Related Least Common Multiples of 1200

Related Least Common Multiples of 1203

Frequently Asked Questions on LCM of 1200 and 1203

1. What is the LCM of 1200 and 1203?

Answer: LCM of 1200 and 1203 is 481200.

2. What are the Factors of 1200?

Answer: Factors of 1200 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200. There are 30 integers that are factors of 1200. The greatest factor of 1200 is 1200.

3. 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.

4. How to Find the LCM of 1200 and 1203?

Answer:

Least Common Multiple of 1200 and 1203 = 481200

Step 1: Find the prime factorization of 1200

1200 = 2 x 2 x 2 x 2 x 3 x 5 x 5

Step 2: Find the prime factorization of 1203

1203 = 3 x 401

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

LCM = 481200 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 401

Step 4: Therefore, the least common multiple of 1200 and 1203 is 481200.