Least Common Multiple of 390 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 390 and 391 the smallest integer that is 152490 that is divisible by both numbers.

Least Common Multiple (LCM) of 390 and 391 is 152490.

LCM(390,391) = 152490

LCM of 390 and 391

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

LCM of:
and

Least Common Multiple of 390 and 391

LCM of 390 and 391 is 152490

Least common multiple can be found by multiplying the highest exponent prime factors of 390 and 391. First we will calculate the prime factors of 390 and 391.

Prime Factorization of 390


2 390
3 195
5 65
13 13
1

Prime factors of 390 are 2, 3, 5,13. Prime factorization of 390 in exponential form is:

390 = 21×31×51×131

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 390 and 391.

LCM(390,391) = 21×31×51×131×171×231
LCM(390,391) = 152490

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Factors of 391

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

1, 17, 23, 391

Least Common Multiple of 390 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 390 and 391, than apply into the LCM equation.

GCF(390,391) = 1
LCM(390,391) = ( 390 × 391) / 1
LCM(390,391) = 152490 / 1
LCM(390,391) = 152490

Properties of LCM 390 and 391

(i) The LCM of 391 and 390 is associative

LCM of 390 and 391 = LCM of 391 and 390

Related Least Common Multiples of 390

Related Least Common Multiples of 391

Frequently Asked Questions on LCM of 390 and 391

1. What is the LCM of 390 and 391?

Answer: LCM of 390 and 391 is 152490.

2. What are the Factors of 390?

Answer: Factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390. There are 16 integers that are factors of 390. The greatest factor of 390 is 390.

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 390 and 391?

Answer:

Least Common Multiple of 390 and 391 = 152490

Step 1: Find the prime factorization of 390

390 = 2 x 3 x 5 x 13

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 = 152490 = 2 x 3 x 5 x 13 x 17 x 23

Step 4: Therefore, the least common multiple of 390 and 391 is 152490.