Least Common Multiple of 391 and 392

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 392 the smallest integer that is 153272 that is divisible by both numbers.

Least Common Multiple (LCM) of 391 and 392 is 153272.

LCM(391,392) = 153272

LCM of 391 and 392

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

LCM of:
and

Least Common Multiple of 391 and 392

LCM of 391 and 392 is 153272

Least common multiple can be found by multiplying the highest exponent prime factors of 391 and 392. First we will calculate the prime factors of 391 and 392.

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 392


2 392
2 196
2 98
7 49
7 7
1

Prime factors of 392 are 2,7. Prime factorization of 392 in exponential form is:

392 = 23×72

Now multiplying the highest exponent prime factors to calculate the LCM of 391 and 392.

LCM(391,392) = 23×72×171×231
LCM(391,392) = 153272

Factors of 391

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

1, 17, 23, 391

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Least Common Multiple of 391 and 392 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 392, than apply into the LCM equation.

GCF(391,392) = 1
LCM(391,392) = ( 391 × 392) / 1
LCM(391,392) = 153272 / 1
LCM(391,392) = 153272

Properties of LCM 391 and 392

(i) The LCM of 392 and 391 is associative

LCM of 391 and 392 = LCM of 392 and 391

Related Least Common Multiples of 391

Related Least Common Multiples of 392

Frequently Asked Questions on LCM of 391 and 392

1. What is the LCM of 391 and 392?

Answer: LCM of 391 and 392 is 153272.

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 392?

Answer: Factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392. There are 12 integers that are factors of 392. The greatest factor of 392 is 392.

4. How to Find the LCM of 391 and 392?

Answer:

Least Common Multiple of 391 and 392 = 153272

Step 1: Find the prime factorization of 391

391 = 17 x 23

Step 2: Find the prime factorization of 392

392 = 2 x 2 x 2 x 7 x 7

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

LCM = 153272 = 2 x 2 x 2 x 7 x 7 x 17 x 23

Step 4: Therefore, the least common multiple of 391 and 392 is 153272.