Least Common Multiple of 397 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 397 and 398 the smallest integer that is 158006 that is divisible by both numbers.

Least Common Multiple (LCM) of 397 and 398 is 158006.

LCM(397,398) = 158006

LCM of 397 and 398

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

LCM of:
and

Least Common Multiple of 397 and 398

LCM of 397 and 398 is 158006

Least common multiple can be found by multiplying the highest exponent prime factors of 397 and 398. First we will calculate the prime factors of 397 and 398.

Prime Factorization of 397


397 397
1

Prime factors of 397 are 397. Prime factorization of 397 in exponential form is:

397 = 3971

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 397 and 398.

LCM(397,398) = 21×1991×3971
LCM(397,398) = 158006

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1, 397

Factors of 398

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

1, 2, 199, 398

Least Common Multiple of 397 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 397 and 398, than apply into the LCM equation.

GCF(397,398) = 1
LCM(397,398) = ( 397 × 398) / 1
LCM(397,398) = 158006 / 1
LCM(397,398) = 158006

Properties of LCM 397 and 398

(i) The LCM of 398 and 397 is associative

LCM of 397 and 398 = LCM of 398 and 397

Related Least Common Multiples of 397

Related Least Common Multiples of 398

Frequently Asked Questions on LCM of 397 and 398

1. What is the LCM of 397 and 398?

Answer: LCM of 397 and 398 is 158006.

2. What are the Factors of 397?

Answer: Factors of 397 are 1, 397. There are 2 integers that are factors of 397. The greatest factor of 397 is 397.

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 397 and 398?

Answer:

Least Common Multiple of 397 and 398 = 158006

Step 1: Find the prime factorization of 397

397 = 397

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 = 158006 = 2 x 199 x 397

Step 4: Therefore, the least common multiple of 397 and 398 is 158006.