Least Common Multiple of 194 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 194 and 200 the smallest integer that is 19400 that is divisible by both numbers.

Least Common Multiple (LCM) of 194 and 200 is 19400.

LCM(194,200) = 19400

LCM of 194 and 200

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

LCM of:
and

Least Common Multiple of 194 and 200

LCM of 194 and 200 is 19400

Least common multiple can be found by multiplying the highest exponent prime factors of 194 and 200. First we will calculate the prime factors of 194 and 200.

Prime Factorization of 194


2 194
97 97
1

Prime factors of 194 are 2,97. Prime factorization of 194 in exponential form is:

194 = 21×971

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 194 and 200.

LCM(194,200) = 23×52×971
LCM(194,200) = 19400

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1, 2, 97, 194

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 194 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 194 and 200, than apply into the LCM equation.

GCF(194,200) = 2
LCM(194,200) = ( 194 × 200) / 2
LCM(194,200) = 38800 / 2
LCM(194,200) = 19400

Properties of LCM 194 and 200

(i) The LCM of 200 and 194 is associative

LCM of 194 and 200 = LCM of 200 and 194

Related Least Common Multiples of 194

Related Least Common Multiples of 200

Frequently Asked Questions on LCM of 194 and 200

1. What is the LCM of 194 and 200?

Answer: LCM of 194 and 200 is 19400.

2. What are the Factors of 194?

Answer: Factors of 194 are 1, 2, 97, 194. There are 4 integers that are factors of 194. The greatest factor of 194 is 194.

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 194 and 200?

Answer:

Least Common Multiple of 194 and 200 = 19400

Step 1: Find the prime factorization of 194

194 = 2 x 97

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 = 19400 = 2 x 2 x 2 x 5 x 5 x 97

Step 4: Therefore, the least common multiple of 194 and 200 is 19400.