Least Common Multiple of 392 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 392 and 398 the smallest integer that is 78008 that is divisible by both numbers.

Least Common Multiple (LCM) of 392 and 398 is 78008.

LCM(392,398) = 78008

LCM of 392 and 398

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

LCM of:
and

Least Common Multiple of 392 and 398

LCM of 392 and 398 is 78008

Least common multiple can be found by multiplying the highest exponent prime factors of 392 and 398. First we will calculate the prime factors of 392 and 398.

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 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 392 and 398.

LCM(392,398) = 23×72×1991
LCM(392,398) = 78008

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 398

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

1, 2, 199, 398

Least Common Multiple of 392 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 392 and 398, than apply into the LCM equation.

GCF(392,398) = 2
LCM(392,398) = ( 392 × 398) / 2
LCM(392,398) = 156016 / 2
LCM(392,398) = 78008

Properties of LCM 392 and 398

(i) The LCM of 398 and 392 is associative

LCM of 392 and 398 = LCM of 398 and 392

Related Least Common Multiples of 392

Related Least Common Multiples of 398

Frequently Asked Questions on LCM of 392 and 398

1. What is the LCM of 392 and 398?

Answer: LCM of 392 and 398 is 78008.

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 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 392 and 398?

Answer:

Least Common Multiple of 392 and 398 = 78008

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 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 = 78008 = 2 x 2 x 2 x 7 x 7 x 199

Step 4: Therefore, the least common multiple of 392 and 398 is 78008.