Least Common Multiple of 386 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 386 and 391 the smallest integer that is 150926 that is divisible by both numbers.
Least Common Multiple (LCM) of 386 and 391 is 150926.
LCM(386,391) = 150926
LCM of 386 and 391
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 386 and 391 by Prime method
- Least Common Multiple of 386 and 391 with GCF Formula
LCM of 386 and 391 is 150926
Least common multiple can be found by multiplying the highest exponent prime factors of 386 and 391. First we will calculate the prime factors of 386 and 391.
Prime Factorization of 386
| 2 | 386 |
| 193 | 193 |
| 1 |
Prime factors of 386 are 2,193. Prime factorization of 386 in exponential form is:
386 = 21×1931
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 386 and 391.
LCM(386,391) = 21×171×231×1931
LCM(386,391) = 150926
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Least Common Multiple of 386 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 386 and 391, than apply into the LCM equation.
GCF(386,391) = 1
LCM(386,391) = ( 386 × 391) / 1
LCM(386,391) = 150926 / 1
LCM(386,391) = 150926
Properties of LCM 386 and 391
(i) The LCM of 391 and 386 is associative
LCM of 386 and 391 = LCM of 391 and 386
Related Least Common Multiples of 386
Related Least Common Multiples of 391
Frequently Asked Questions on LCM of 386 and 391
1. What is the LCM of 386 and 391?
Answer: LCM of 386 and 391 is 150926.
2. What are the Factors of 386?
Answer: Factors of 386 are 1, 2, 193, 386. There are 4 integers that are factors of 386. The greatest factor of 386 is 386.
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 386 and 391?
Answer:
Least Common Multiple of 386 and 391 = 150926
Step 1: Find the prime factorization of 386
386 = 2 x 193
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 = 150926 = 2 x 17 x 23 x 193
Step 4: Therefore, the least common multiple of 386 and 391 is 150926.