Least Common Multiple of 394 and 401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 394 and 401 the smallest integer that is 157994 that is divisible by both numbers.

Least Common Multiple (LCM) of 394 and 401 is 157994.

LCM(394,401) = 157994

LCM of 394 and 401

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

LCM of:
and

Least Common Multiple of 394 and 401

LCM of 394 and 401 is 157994

Least common multiple can be found by multiplying the highest exponent prime factors of 394 and 401. First we will calculate the prime factors of 394 and 401.

Prime Factorization of 394


2 394
197 197
1

Prime factors of 394 are 2,197. Prime factorization of 394 in exponential form is:

394 = 21×1971

Prime Factorization of 401


401 401
1

Prime factors of 401 are 401. Prime factorization of 401 in exponential form is:

401 = 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 394 and 401.

LCM(394,401) = 21×1971×4011
LCM(394,401) = 157994

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1, 401

Least Common Multiple of 394 and 401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 394 and 401, than apply into the LCM equation.

GCF(394,401) = 1
LCM(394,401) = ( 394 × 401) / 1
LCM(394,401) = 157994 / 1
LCM(394,401) = 157994

Properties of LCM 394 and 401

(i) The LCM of 401 and 394 is associative

LCM of 394 and 401 = LCM of 401 and 394

Related Least Common Multiples of 394

Related Least Common Multiples of 401

Frequently Asked Questions on LCM of 394 and 401

1. What is the LCM of 394 and 401?

Answer: LCM of 394 and 401 is 157994.

2. What are the Factors of 394?

Answer: Factors of 394 are 1, 2, 197, 394. There are 4 integers that are factors of 394. The greatest factor of 394 is 394.

3. What are the Factors of 401?

Answer: Factors of 401 are 1, 401. There are 2 integers that are factors of 401. The greatest factor of 401 is 401.

4. How to Find the LCM of 394 and 401?

Answer:

Least Common Multiple of 394 and 401 = 157994

Step 1: Find the prime factorization of 394

394 = 2 x 197

Step 2: Find the prime factorization of 401

401 = 401

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

LCM = 157994 = 2 x 197 x 401

Step 4: Therefore, the least common multiple of 394 and 401 is 157994.