Least Common Multiple of 391 and 398
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 398 the smallest integer that is 155618 that is divisible by both numbers.
Least Common Multiple (LCM) of 391 and 398 is 155618.
LCM(391,398) = 155618
LCM of 391 and 398
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 391 and 398 by Prime method
- Least Common Multiple of 391 and 398 with GCF Formula
LCM of 391 and 398 is 155618
Least common multiple can be found by multiplying the highest exponent prime factors of 391 and 398. First we will calculate the prime factors of 391 and 398.
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 398
| 2 | 398 |
| 199 | 199 |
| 1 |
Prime factors of 398 are 2,199. Prime factorization of 398 in exponential form is:
398 = 21×1991
Now multiplying the highest exponent prime factors to calculate the LCM of 391 and 398.
LCM(391,398) = 21×171×231×1991
LCM(391,398) = 155618
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Least Common Multiple of 391 and 398 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 398, than apply into the LCM equation.
GCF(391,398) = 1
LCM(391,398) = ( 391 × 398) / 1
LCM(391,398) = 155618 / 1
LCM(391,398) = 155618
Properties of LCM 391 and 398
(i) The LCM of 398 and 391 is associative
LCM of 391 and 398 = LCM of 398 and 391
Related Least Common Multiples of 391
Related Least Common Multiples of 398
Frequently Asked Questions on LCM of 391 and 398
1. What is the LCM of 391 and 398?
Answer: LCM of 391 and 398 is 155618.
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 398?
Answer: Factors of 398 are 1, 2, 199, 398. There are 4 integers that are factors of 398. The greatest factor of 398 is 398.
4. How to Find the LCM of 391 and 398?
Answer:
Least Common Multiple of 391 and 398 = 155618
Step 1: Find the prime factorization of 391
391 = 17 x 23
Step 2: Find the prime factorization of 398
398 = 2 x 199
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 155618 = 2 x 17 x 23 x 199
Step 4: Therefore, the least common multiple of 391 and 398 is 155618.
