Least Common Multiple of 395 and 398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 395 and 398 the smallest integer that is 157210 that is divisible by both numbers.

Least Common Multiple (LCM) of 395 and 398 is 157210.

LCM(395,398) = 157210

LCM of 395 and 398

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

LCM of:
and

Least Common Multiple of 395 and 398

LCM of 395 and 398 is 157210

Least common multiple can be found by multiplying the highest exponent prime factors of 395 and 398. First we will calculate the prime factors of 395 and 398.

Prime Factorization of 395


5 395
79 79
1

Prime factors of 395 are 5,79. Prime factorization of 395 in exponential form is:

395 = 51×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 395 and 398.

LCM(395,398) = 21×51×791×1991
LCM(395,398) = 157210

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Factors of 398

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

1, 2, 199, 398

Least Common Multiple of 395 and 398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 395 and 398, than apply into the LCM equation.

GCF(395,398) = 1
LCM(395,398) = ( 395 × 398) / 1
LCM(395,398) = 157210 / 1
LCM(395,398) = 157210

Properties of LCM 395 and 398

(i) The LCM of 398 and 395 is associative

LCM of 395 and 398 = LCM of 398 and 395

Related Least Common Multiples of 395

Related Least Common Multiples of 398

Frequently Asked Questions on LCM of 395 and 398

1. What is the LCM of 395 and 398?

Answer: LCM of 395 and 398 is 157210.

2. What are the Factors of 395?

Answer: Factors of 395 are 1, 5, 79, 395. There are 4 integers that are factors of 395. The greatest factor of 395 is 395.

3. 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.

4. How to Find the LCM of 395 and 398?

Answer:

Least Common Multiple of 395 and 398 = 157210

Step 1: Find the prime factorization of 395

395 = 5 x 79

Step 2: Find the prime factorization of 398

398 = 2 x 199

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

LCM = 157210 = 2 x 5 x 79 x 199

Step 4: Therefore, the least common multiple of 395 and 398 is 157210.