Least Common Multiple of 398 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 398 and 401 the smallest integer that is 159598 that is divisible by both numbers.

Least Common Multiple (LCM) of 398 and 401 is 159598.

LCM(398,401) = 159598

LCM of 398 and 401

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

LCM of:
and

Least Common Multiple of 398 and 401

LCM of 398 and 401 is 159598

Least common multiple can be found by multiplying the highest exponent prime factors of 398 and 401. First we will calculate the prime factors of 398 and 401.

Prime Factorization of 398


2 398
199 199
1

Prime factors of 398 are 2,199. Prime factorization of 398 in exponential form is:

398 = 21×1991

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 398 and 401.

LCM(398,401) = 21×1991×4011
LCM(398,401) = 159598

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Factors of 401

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

1, 401

Least Common Multiple of 398 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 398 and 401, than apply into the LCM equation.

GCF(398,401) = 1
LCM(398,401) = ( 398 × 401) / 1
LCM(398,401) = 159598 / 1
LCM(398,401) = 159598

Properties of LCM 398 and 401

(i) The LCM of 401 and 398 is associative

LCM of 398 and 401 = LCM of 401 and 398

Related Least Common Multiples of 398

Related Least Common Multiples of 401

Frequently Asked Questions on LCM of 398 and 401

1. What is the LCM of 398 and 401?

Answer: LCM of 398 and 401 is 159598.

2. What are the Factors of 398?

Answer: Factors of 398 are 1, 2, 199, 398. There are 4 integers that are factors of 398. The greatest factor of 398 is 398.

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 398 and 401?

Answer:

Least Common Multiple of 398 and 401 = 159598

Step 1: Find the prime factorization of 398

398 = 2 x 199

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 = 159598 = 2 x 199 x 401

Step 4: Therefore, the least common multiple of 398 and 401 is 159598.