Least Common Multiple of 197 and 201

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 201 the smallest integer that is 39597 that is divisible by both numbers.

Least Common Multiple (LCM) of 197 and 201 is 39597.

LCM(197,201) = 39597

LCM of 197 and 201

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

LCM of:
and

Least Common Multiple of 197 and 201

LCM of 197 and 201 is 39597

Least common multiple can be found by multiplying the highest exponent prime factors of 197 and 201. First we will calculate the prime factors of 197 and 201.

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 201


3 201
67 67
1

Prime factors of 201 are 3,67. Prime factorization of 201 in exponential form is:

201 = 31×671

Now multiplying the highest exponent prime factors to calculate the LCM of 197 and 201.

LCM(197,201) = 31×671×1971
LCM(197,201) = 39597

Factors of 197

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

1, 197

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Least Common Multiple of 197 and 201 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 201, than apply into the LCM equation.

GCF(197,201) = 1
LCM(197,201) = ( 197 × 201) / 1
LCM(197,201) = 39597 / 1
LCM(197,201) = 39597

Properties of LCM 197 and 201

(i) The LCM of 201 and 197 is associative

LCM of 197 and 201 = LCM of 201 and 197

Related Least Common Multiples of 197

Related Least Common Multiples of 201

Frequently Asked Questions on LCM of 197 and 201

1. What is the LCM of 197 and 201?

Answer: LCM of 197 and 201 is 39597.

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 201?

Answer: Factors of 201 are 1, 3, 67, 201. There are 4 integers that are factors of 201. The greatest factor of 201 is 201.

4. How to Find the LCM of 197 and 201?

Answer:

Least Common Multiple of 197 and 201 = 39597

Step 1: Find the prime factorization of 197

197 = 197

Step 2: Find the prime factorization of 201

201 = 3 x 67

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

LCM = 39597 = 3 x 67 x 197

Step 4: Therefore, the least common multiple of 197 and 201 is 39597.