Least Common Multiple of 394 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 394 and 398 the smallest integer that is 78406 that is divisible by both numbers.

Least Common Multiple (LCM) of 394 and 398 is 78406.

LCM(394,398) = 78406

LCM of 394 and 398

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

LCM of:
and

Least Common Multiple of 394 and 398

LCM of 394 and 398 is 78406

Least common multiple can be found by multiplying the highest exponent prime factors of 394 and 398. First we will calculate the prime factors of 394 and 398.

Prime Factorization of 394


2 394
197 197
1

Prime factors of 394 are 2,197. Prime factorization of 394 in exponential form is:

394 = 21×1971

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 394 and 398.

LCM(394,398) = 21×1971×1991
LCM(394,398) = 78406

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Factors of 398

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

1, 2, 199, 398

Least Common Multiple of 394 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 394 and 398, than apply into the LCM equation.

GCF(394,398) = 2
LCM(394,398) = ( 394 × 398) / 2
LCM(394,398) = 156812 / 2
LCM(394,398) = 78406

Properties of LCM 394 and 398

(i) The LCM of 398 and 394 is associative

LCM of 394 and 398 = LCM of 398 and 394

Related Least Common Multiples of 394

Related Least Common Multiples of 398

Frequently Asked Questions on LCM of 394 and 398

1. What is the LCM of 394 and 398?

Answer: LCM of 394 and 398 is 78406.

2. What are the Factors of 394?

Answer: Factors of 394 are 1, 2, 197, 394. There are 4 integers that are factors of 394. The greatest factor of 394 is 394.

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 394 and 398?

Answer:

Least Common Multiple of 394 and 398 = 78406

Step 1: Find the prime factorization of 394

394 = 2 x 197

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 = 78406 = 2 x 197 x 199

Step 4: Therefore, the least common multiple of 394 and 398 is 78406.