Least Common Multiple of 193 and 200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 193 and 200 the smallest integer that is 38600 that is divisible by both numbers.

Least Common Multiple (LCM) of 193 and 200 is 38600.

LCM(193,200) = 38600

LCM of 193 and 200

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

LCM of:
and

Least Common Multiple of 193 and 200

LCM of 193 and 200 is 38600

Least common multiple can be found by multiplying the highest exponent prime factors of 193 and 200. First we will calculate the prime factors of 193 and 200.

Prime Factorization of 193


193 193
1

Prime factors of 193 are 193. Prime factorization of 193 in exponential form is:

193 = 1931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 193 and 200.

LCM(193,200) = 23×52×1931
LCM(193,200) = 38600

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1, 193

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

Least Common Multiple of 193 and 200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 193 and 200, than apply into the LCM equation.

GCF(193,200) = 1
LCM(193,200) = ( 193 × 200) / 1
LCM(193,200) = 38600 / 1
LCM(193,200) = 38600

Properties of LCM 193 and 200

(i) The LCM of 200 and 193 is associative

LCM of 193 and 200 = LCM of 200 and 193

Related Least Common Multiples of 193

Related Least Common Multiples of 200

Frequently Asked Questions on LCM of 193 and 200

1. What is the LCM of 193 and 200?

Answer: LCM of 193 and 200 is 38600.

2. What are the Factors of 193?

Answer: Factors of 193 are 1, 193. There are 2 integers that are factors of 193. The greatest factor of 193 is 193.

3. 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.

4. How to Find the LCM of 193 and 200?

Answer:

Least Common Multiple of 193 and 200 = 38600

Step 1: Find the prime factorization of 193

193 = 193

Step 2: Find the prime factorization of 200

200 = 2 x 2 x 2 x 5 x 5

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

LCM = 38600 = 2 x 2 x 2 x 5 x 5 x 193

Step 4: Therefore, the least common multiple of 193 and 200 is 38600.