Least Common Multiple of 197 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 197 and 200 the smallest integer that is 39400 that is divisible by both numbers.

Least Common Multiple (LCM) of 197 and 200 is 39400.

LCM(197,200) = 39400

LCM of 197 and 200

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

LCM of:
and

Least Common Multiple of 197 and 200

LCM of 197 and 200 is 39400

Least common multiple can be found by multiplying the highest exponent prime factors of 197 and 200. First we will calculate the prime factors of 197 and 200.

Prime Factorization of 197


197 197
1

Prime factors of 197 are 197. Prime factorization of 197 in exponential form is:

197 = 1971

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 197 and 200.

LCM(197,200) = 23×52×1971
LCM(197,200) = 39400

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1, 197

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 197 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 197 and 200, than apply into the LCM equation.

GCF(197,200) = 1
LCM(197,200) = ( 197 × 200) / 1
LCM(197,200) = 39400 / 1
LCM(197,200) = 39400

Properties of LCM 197 and 200

(i) The LCM of 200 and 197 is associative

LCM of 197 and 200 = LCM of 200 and 197

Related Least Common Multiples of 197

Related Least Common Multiples of 200

Frequently Asked Questions on LCM of 197 and 200

1. What is the LCM of 197 and 200?

Answer: LCM of 197 and 200 is 39400.

2. What are the Factors of 197?

Answer: Factors of 197 are 1, 197. There are 2 integers that are factors of 197. The greatest factor of 197 is 197.

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 197 and 200?

Answer:

Least Common Multiple of 197 and 200 = 39400

Step 1: Find the prime factorization of 197

197 = 197

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 = 39400 = 2 x 2 x 2 x 5 x 5 x 197

Step 4: Therefore, the least common multiple of 197 and 200 is 39400.