Least Common Multiple of 391 and 397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 391 and 397 the smallest integer that is 155227 that is divisible by both numbers.

Least Common Multiple (LCM) of 391 and 397 is 155227.

LCM(391,397) = 155227

LCM of 391 and 397

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

LCM of:
and

Least Common Multiple of 391 and 397

LCM of 391 and 397 is 155227

Least common multiple can be found by multiplying the highest exponent prime factors of 391 and 397. First we will calculate the prime factors of 391 and 397.

Prime Factorization of 391


17 391
23 23
1

Prime factors of 391 are 17,23. Prime factorization of 391 in exponential form is:

391 = 171×231

Prime Factorization of 397


397 397
1

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

397 = 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 391 and 397.

LCM(391,397) = 171×231×3971
LCM(391,397) = 155227

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Factors of 397

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

1, 397

Least Common Multiple of 391 and 397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 391 and 397, than apply into the LCM equation.

GCF(391,397) = 1
LCM(391,397) = ( 391 × 397) / 1
LCM(391,397) = 155227 / 1
LCM(391,397) = 155227

Properties of LCM 391 and 397

(i) The LCM of 397 and 391 is associative

LCM of 391 and 397 = LCM of 397 and 391

Related Least Common Multiples of 391

Related Least Common Multiples of 397

Frequently Asked Questions on LCM of 391 and 397

1. What is the LCM of 391 and 397?

Answer: LCM of 391 and 397 is 155227.

2. What are the Factors of 391?

Answer: Factors of 391 are 1, 17, 23, 391. There are 4 integers that are factors of 391. The greatest factor of 391 is 391.

3. 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.

4. How to Find the LCM of 391 and 397?

Answer:

Least Common Multiple of 391 and 397 = 155227

Step 1: Find the prime factorization of 391

391 = 17 x 23

Step 2: Find the prime factorization of 397

397 = 397

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

LCM = 155227 = 17 x 23 x 397

Step 4: Therefore, the least common multiple of 391 and 397 is 155227.