Least Common Multiple of 387 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 387 and 391 the smallest integer that is 151317 that is divisible by both numbers.

Least Common Multiple (LCM) of 387 and 391 is 151317.

LCM(387,391) = 151317

LCM of 387 and 391

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

LCM of:
and

Least Common Multiple of 387 and 391

LCM of 387 and 391 is 151317

Least common multiple can be found by multiplying the highest exponent prime factors of 387 and 391. First we will calculate the prime factors of 387 and 391.

Prime Factorization of 387


3 387
3 129
43 43
1

Prime factors of 387 are 3,43. Prime factorization of 387 in exponential form is:

387 = 32×431

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 387 and 391.

LCM(387,391) = 32×171×231×431
LCM(387,391) = 151317

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Factors of 391

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

1, 17, 23, 391

Least Common Multiple of 387 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 387 and 391, than apply into the LCM equation.

GCF(387,391) = 1
LCM(387,391) = ( 387 × 391) / 1
LCM(387,391) = 151317 / 1
LCM(387,391) = 151317

Properties of LCM 387 and 391

(i) The LCM of 391 and 387 is associative

LCM of 387 and 391 = LCM of 391 and 387

Related Least Common Multiples of 387

Related Least Common Multiples of 391

Frequently Asked Questions on LCM of 387 and 391

1. What is the LCM of 387 and 391?

Answer: LCM of 387 and 391 is 151317.

2. What are the Factors of 387?

Answer: Factors of 387 are 1, 3, 9, 43, 129, 387. There are 6 integers that are factors of 387. The greatest factor of 387 is 387.

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 387 and 391?

Answer:

Least Common Multiple of 387 and 391 = 151317

Step 1: Find the prime factorization of 387

387 = 3 x 3 x 43

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 = 151317 = 3 x 3 x 17 x 23 x 43

Step 4: Therefore, the least common multiple of 387 and 391 is 151317.