Least Common Multiple of 200 and 203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 200 and 203 the smallest integer that is 40600 that is divisible by both numbers.

Least Common Multiple (LCM) of 200 and 203 is 40600.

LCM(200,203) = 40600

LCM of 200 and 203

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

LCM of:
and

Least Common Multiple of 200 and 203

LCM of 200 and 203 is 40600

Least common multiple can be found by multiplying the highest exponent prime factors of 200 and 203. First we will calculate the prime factors of 200 and 203.

Prime Factorization of 200


2 200
2 100
2 50
5 25
5 5
1

Prime factors of 200 are 2,5. Prime factorization of 200 in exponential form is:

200 = 23×52

Prime Factorization of 203


7 203
29 29
1

Prime factors of 203 are 7,29. Prime factorization of 203 in exponential form is:

203 = 71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 200 and 203.

LCM(200,203) = 23×52×71×291
LCM(200,203) = 40600

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Least Common Multiple of 200 and 203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 200 and 203, than apply into the LCM equation.

GCF(200,203) = 1
LCM(200,203) = ( 200 × 203) / 1
LCM(200,203) = 40600 / 1
LCM(200,203) = 40600

Properties of LCM 200 and 203

(i) The LCM of 203 and 200 is associative

LCM of 200 and 203 = LCM of 203 and 200

Related Least Common Multiples of 200

Related Least Common Multiples of 203

Frequently Asked Questions on LCM of 200 and 203

1. What is the LCM of 200 and 203?

Answer: LCM of 200 and 203 is 40600.

2. What are the Factors of 200?

Answer: Factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200. There are 12 integers that are factors of 200. The greatest factor of 200 is 200.

3. What are the Factors of 203?

Answer: Factors of 203 are 1, 7, 29, 203. There are 4 integers that are factors of 203. The greatest factor of 203 is 203.

4. How to Find the LCM of 200 and 203?

Answer:

Least Common Multiple of 200 and 203 = 40600

Step 1: Find the prime factorization of 200

200 = 2 x 2 x 2 x 5 x 5

Step 2: Find the prime factorization of 203

203 = 7 x 29

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

LCM = 40600 = 2 x 2 x 2 x 5 x 5 x 7 x 29

Step 4: Therefore, the least common multiple of 200 and 203 is 40600.