Least Common Multiple of 392 and 395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 392 and 395 the smallest integer that is 154840 that is divisible by both numbers.

Least Common Multiple (LCM) of 392 and 395 is 154840.

LCM(392,395) = 154840

LCM of 392 and 395

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

LCM of:
and

Least Common Multiple of 392 and 395

LCM of 392 and 395 is 154840

Least common multiple can be found by multiplying the highest exponent prime factors of 392 and 395. First we will calculate the prime factors of 392 and 395.

Prime Factorization of 392


2 392
2 196
2 98
7 49
7 7
1

Prime factors of 392 are 2,7. Prime factorization of 392 in exponential form is:

392 = 23×72

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

Now multiplying the highest exponent prime factors to calculate the LCM of 392 and 395.

LCM(392,395) = 23×51×72×791
LCM(392,395) = 154840

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Factors of 395

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

1, 5, 79, 395

Least Common Multiple of 392 and 395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 392 and 395, than apply into the LCM equation.

GCF(392,395) = 1
LCM(392,395) = ( 392 × 395) / 1
LCM(392,395) = 154840 / 1
LCM(392,395) = 154840

Properties of LCM 392 and 395

(i) The LCM of 395 and 392 is associative

LCM of 392 and 395 = LCM of 395 and 392

Related Least Common Multiples of 392

Related Least Common Multiples of 395

Frequently Asked Questions on LCM of 392 and 395

1. What is the LCM of 392 and 395?

Answer: LCM of 392 and 395 is 154840.

2. What are the Factors of 392?

Answer: Factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392. There are 12 integers that are factors of 392. The greatest factor of 392 is 392.

3. 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.

4. How to Find the LCM of 392 and 395?

Answer:

Least Common Multiple of 392 and 395 = 154840

Step 1: Find the prime factorization of 392

392 = 2 x 2 x 2 x 7 x 7

Step 2: Find the prime factorization of 395

395 = 5 x 79

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

LCM = 154840 = 2 x 2 x 2 x 5 x 7 x 7 x 79

Step 4: Therefore, the least common multiple of 392 and 395 is 154840.