Least Common Multiple of 398 and 399

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 399 the smallest integer that is 158802 that is divisible by both numbers.

Least Common Multiple (LCM) of 398 and 399 is 158802.

LCM(398,399) = 158802

LCM of 398 and 399

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

LCM of:
and

Least Common Multiple of 398 and 399

LCM of 398 and 399 is 158802

Least common multiple can be found by multiplying the highest exponent prime factors of 398 and 399. First we will calculate the prime factors of 398 and 399.

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 399


3 399
7 133
19 19
1

Prime factors of 399 are 3, 7,19. Prime factorization of 399 in exponential form is:

399 = 31×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 398 and 399.

LCM(398,399) = 21×31×71×191×1991
LCM(398,399) = 158802

Factors of 398

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

1, 2, 199, 398

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Least Common Multiple of 398 and 399 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 399, than apply into the LCM equation.

GCF(398,399) = 1
LCM(398,399) = ( 398 × 399) / 1
LCM(398,399) = 158802 / 1
LCM(398,399) = 158802

Properties of LCM 398 and 399

(i) The LCM of 399 and 398 is associative

LCM of 398 and 399 = LCM of 399 and 398

Related Least Common Multiples of 398

Related Least Common Multiples of 399

Frequently Asked Questions on LCM of 398 and 399

1. What is the LCM of 398 and 399?

Answer: LCM of 398 and 399 is 158802.

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 399?

Answer: Factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399. There are 8 integers that are factors of 399. The greatest factor of 399 is 399.

4. How to Find the LCM of 398 and 399?

Answer:

Least Common Multiple of 398 and 399 = 158802

Step 1: Find the prime factorization of 398

398 = 2 x 199

Step 2: Find the prime factorization of 399

399 = 3 x 7 x 19

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

LCM = 158802 = 2 x 3 x 7 x 19 x 199

Step 4: Therefore, the least common multiple of 398 and 399 is 158802.