Least Common Multiple of 194 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 194 and 201 the smallest integer that is 38994 that is divisible by both numbers.

Least Common Multiple (LCM) of 194 and 201 is 38994.

LCM(194,201) = 38994

LCM of 194 and 201

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

LCM of:
and

Least Common Multiple of 194 and 201

LCM of 194 and 201 is 38994

Least common multiple can be found by multiplying the highest exponent prime factors of 194 and 201. First we will calculate the prime factors of 194 and 201.

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 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 194 and 201.

LCM(194,201) = 21×31×671×971
LCM(194,201) = 38994

Factors of 194

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

1, 2, 97, 194

Factors of 201

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

1, 3, 67, 201

Least Common Multiple of 194 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 194 and 201, than apply into the LCM equation.

GCF(194,201) = 1
LCM(194,201) = ( 194 × 201) / 1
LCM(194,201) = 38994 / 1
LCM(194,201) = 38994

Properties of LCM 194 and 201

(i) The LCM of 201 and 194 is associative

LCM of 194 and 201 = LCM of 201 and 194

Related Least Common Multiples of 194

Related Least Common Multiples of 201

Frequently Asked Questions on LCM of 194 and 201

1. What is the LCM of 194 and 201?

Answer: LCM of 194 and 201 is 38994.

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 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 194 and 201?

Answer:

Least Common Multiple of 194 and 201 = 38994

Step 1: Find the prime factorization of 194

194 = 2 x 97

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 = 38994 = 2 x 3 x 67 x 97

Step 4: Therefore, the least common multiple of 194 and 201 is 38994.