Least Common Multiple of 395 and 396

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 396 the smallest integer that is 156420 that is divisible by both numbers.

Least Common Multiple (LCM) of 395 and 396 is 156420.

LCM(395,396) = 156420

LCM of 395 and 396

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

LCM of:
and

Least Common Multiple of 395 and 396

LCM of 395 and 396 is 156420

Least common multiple can be found by multiplying the highest exponent prime factors of 395 and 396. First we will calculate the prime factors of 395 and 396.

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 396


2 396
2 198
3 99
3 33
11 11
1

Prime factors of 396 are 2, 3,11. Prime factorization of 396 in exponential form is:

396 = 22×32×111

Now multiplying the highest exponent prime factors to calculate the LCM of 395 and 396.

LCM(395,396) = 22×32×51×111×791
LCM(395,396) = 156420

Factors of 395

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

1, 5, 79, 395

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Least Common Multiple of 395 and 396 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 396, than apply into the LCM equation.

GCF(395,396) = 1
LCM(395,396) = ( 395 × 396) / 1
LCM(395,396) = 156420 / 1
LCM(395,396) = 156420

Properties of LCM 395 and 396

(i) The LCM of 396 and 395 is associative

LCM of 395 and 396 = LCM of 396 and 395

Related Least Common Multiples of 395

Related Least Common Multiples of 396

Frequently Asked Questions on LCM of 395 and 396

1. What is the LCM of 395 and 396?

Answer: LCM of 395 and 396 is 156420.

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 396?

Answer: Factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396. There are 18 integers that are factors of 396. The greatest factor of 396 is 396.

4. How to Find the LCM of 395 and 396?

Answer:

Least Common Multiple of 395 and 396 = 156420

Step 1: Find the prime factorization of 395

395 = 5 x 79

Step 2: Find the prime factorization of 396

396 = 2 x 2 x 3 x 3 x 11

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

LCM = 156420 = 2 x 2 x 3 x 3 x 5 x 11 x 79

Step 4: Therefore, the least common multiple of 395 and 396 is 156420.