Least Common Multiple of 395 and 400

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 400 the smallest integer that is 31600 that is divisible by both numbers.

Least Common Multiple (LCM) of 395 and 400 is 31600.

LCM(395,400) = 31600

LCM of 395 and 400

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

LCM of:
and

Least Common Multiple of 395 and 400

LCM of 395 and 400 is 31600

Least common multiple can be found by multiplying the highest exponent prime factors of 395 and 400. First we will calculate the prime factors of 395 and 400.

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 400


2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 400 are 2,5. Prime factorization of 400 in exponential form is:

400 = 24×52

Now multiplying the highest exponent prime factors to calculate the LCM of 395 and 400.

LCM(395,400) = 24×52×791
LCM(395,400) = 31600

Factors of 395

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

1, 5, 79, 395

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Least Common Multiple of 395 and 400 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 400, than apply into the LCM equation.

GCF(395,400) = 5
LCM(395,400) = ( 395 × 400) / 5
LCM(395,400) = 158000 / 5
LCM(395,400) = 31600

Properties of LCM 395 and 400

(i) The LCM of 400 and 395 is associative

LCM of 395 and 400 = LCM of 400 and 395

Related Least Common Multiples of 395

Related Least Common Multiples of 400

Frequently Asked Questions on LCM of 395 and 400

1. What is the LCM of 395 and 400?

Answer: LCM of 395 and 400 is 31600.

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 400?

Answer: Factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400. There are 15 integers that are factors of 400. The greatest factor of 400 is 400.

4. How to Find the LCM of 395 and 400?

Answer:

Least Common Multiple of 395 and 400 = 31600

Step 1: Find the prime factorization of 395

395 = 5 x 79

Step 2: Find the prime factorization of 400

400 = 2 x 2 x 2 x 2 x 5 x 5

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

LCM = 31600 = 2 x 2 x 2 x 2 x 5 x 5 x 79

Step 4: Therefore, the least common multiple of 395 and 400 is 31600.