Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4386 and 4391 the smallest integer that is 19258926 that is divisible by both numbers.
Least Common Multiple (LCM) of 4386 and 4391 is 19258926.
LCM(4386,4391) = 19258926
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 4386 and 4391. First we will calculate the prime factors of 4386 and 4391.
Prime Factorization of 4386
2 | 4386 |
3 | 2193 |
17 | 731 |
43 | 43 |
1 |
Prime factors of 4386 are 2, 3, 17,43. Prime factorization of 4386 in exponential form is:
4386 = 21×31×171×431
Prime Factorization of 4391
4391 | 4391 |
1 |
Prime factors of 4391 are 4391. Prime factorization of 4391 in exponential form is:
4391 = 43911
Now multiplying the highest exponent prime factors to calculate the LCM of 4386 and 4391.
LCM(4386,4391) = 21×31×171×431×43911
LCM(4386,4391) = 19258926
Factors of 4386
List of positive integer factors of 4386 that divides 4386 without a remainder.
1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386
Factors of 4391
List of positive integer factors of 4391 that divides 4391 without a remainder.
1, 4391
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4386 and 4391, than apply into the LCM equation.
GCF(4386,4391) = 1
LCM(4386,4391) = ( 4386 × 4391) / 1
LCM(4386,4391) = 19258926 / 1
LCM(4386,4391) = 19258926
(i) The LCM of 4391 and 4386 is associative
LCM of 4386 and 4391 = LCM of 4391 and 4386
1. What is the LCM of 4386 and 4391?
Answer: LCM of 4386 and 4391 is 19258926.
2. What are the Factors of 4386?
Answer: Factors of 4386 are 1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386. There are 16 integers that are factors of 4386. The greatest factor of 4386 is 4386.
3. What are the Factors of 4391?
Answer: Factors of 4391 are 1, 4391. There are 2 integers that are factors of 4391. The greatest factor of 4391 is 4391.
4. How to Find the LCM of 4386 and 4391?
Answer:
Least Common Multiple of 4386 and 4391 = 19258926
Step 1: Find the prime factorization of 4386
4386 = 2 x 3 x 17 x 43
Step 2: Find the prime factorization of 4391
4391 = 4391
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19258926 = 2 x 3 x 17 x 43 x 4391
Step 4: Therefore, the least common multiple of 4386 and 4391 is 19258926.