Least Common Multiple of 193 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 193 and 201 the smallest integer that is 38793 that is divisible by both numbers.

Least Common Multiple (LCM) of 193 and 201 is 38793.

LCM(193,201) = 38793

LCM of 193 and 201

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

LCM of:
and

Least Common Multiple of 193 and 201

LCM of 193 and 201 is 38793

Least common multiple can be found by multiplying the highest exponent prime factors of 193 and 201. First we will calculate the prime factors of 193 and 201.

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 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 193 and 201.

LCM(193,201) = 31×671×1931
LCM(193,201) = 38793

Factors of 193

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

1, 193

Factors of 201

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

1, 3, 67, 201

Least Common Multiple of 193 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 193 and 201, than apply into the LCM equation.

GCF(193,201) = 1
LCM(193,201) = ( 193 × 201) / 1
LCM(193,201) = 38793 / 1
LCM(193,201) = 38793

Properties of LCM 193 and 201

(i) The LCM of 201 and 193 is associative

LCM of 193 and 201 = LCM of 201 and 193

Related Least Common Multiples of 193

Related Least Common Multiples of 201

Frequently Asked Questions on LCM of 193 and 201

1. What is the LCM of 193 and 201?

Answer: LCM of 193 and 201 is 38793.

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 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 193 and 201?

Answer:

Least Common Multiple of 193 and 201 = 38793

Step 1: Find the prime factorization of 193

193 = 193

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 = 38793 = 3 x 67 x 193

Step 4: Therefore, the least common multiple of 193 and 201 is 38793.