Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4385 and 4391 the smallest integer that is 19254535 that is divisible by both numbers.
Least Common Multiple (LCM) of 4385 and 4391 is 19254535.
LCM(4385,4391) = 19254535
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 4385 and 4391. First we will calculate the prime factors of 4385 and 4391.
Prime Factorization of 4385
5 | 4385 |
877 | 877 |
1 |
Prime factors of 4385 are 5,877. Prime factorization of 4385 in exponential form is:
4385 = 51×8771
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 4385 and 4391.
LCM(4385,4391) = 51×8771×43911
LCM(4385,4391) = 19254535
Factors of 4385
List of positive integer factors of 4385 that divides 4385 without a remainder.
1, 5, 877, 4385
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 4385 and 4391, than apply into the LCM equation.
GCF(4385,4391) = 1
LCM(4385,4391) = ( 4385 × 4391) / 1
LCM(4385,4391) = 19254535 / 1
LCM(4385,4391) = 19254535
(i) The LCM of 4391 and 4385 is associative
LCM of 4385 and 4391 = LCM of 4391 and 4385
1. What is the LCM of 4385 and 4391?
Answer: LCM of 4385 and 4391 is 19254535.
2. What are the Factors of 4385?
Answer: Factors of 4385 are 1, 5, 877, 4385. There are 4 integers that are factors of 4385. The greatest factor of 4385 is 4385.
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 4385 and 4391?
Answer:
Least Common Multiple of 4385 and 4391 = 19254535
Step 1: Find the prime factorization of 4385
4385 = 5 x 877
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 = 19254535 = 5 x 877 x 4391
Step 4: Therefore, the least common multiple of 4385 and 4391 is 19254535.