Least Common Multiple of 383 and 391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 383 and 391 the smallest integer that is 149753 that is divisible by both numbers.

Least Common Multiple (LCM) of 383 and 391 is 149753.

LCM(383,391) = 149753

LCM of 383 and 391

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

LCM of:
and

Least Common Multiple of 383 and 391

LCM of 383 and 391 is 149753

Least common multiple can be found by multiplying the highest exponent prime factors of 383 and 391. First we will calculate the prime factors of 383 and 391.

Prime Factorization of 383


383 383
1

Prime factors of 383 are 383. Prime factorization of 383 in exponential form is:

383 = 3831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 383 and 391.

LCM(383,391) = 171×231×3831
LCM(383,391) = 149753

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1, 383

Factors of 391

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

1, 17, 23, 391

Least Common Multiple of 383 and 391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 383 and 391, than apply into the LCM equation.

GCF(383,391) = 1
LCM(383,391) = ( 383 × 391) / 1
LCM(383,391) = 149753 / 1
LCM(383,391) = 149753

Properties of LCM 383 and 391

(i) The LCM of 391 and 383 is associative

LCM of 383 and 391 = LCM of 391 and 383

Related Least Common Multiples of 383

Related Least Common Multiples of 391

Frequently Asked Questions on LCM of 383 and 391

1. What is the LCM of 383 and 391?

Answer: LCM of 383 and 391 is 149753.

2. What are the Factors of 383?

Answer: Factors of 383 are 1, 383. There are 2 integers that are factors of 383. The greatest factor of 383 is 383.

3. 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.

4. How to Find the LCM of 383 and 391?

Answer:

Least Common Multiple of 383 and 391 = 149753

Step 1: Find the prime factorization of 383

383 = 383

Step 2: Find the prime factorization of 391

391 = 17 x 23

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

LCM = 149753 = 17 x 23 x 383

Step 4: Therefore, the least common multiple of 383 and 391 is 149753.