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 4390 the smallest integer that is 3850030 that is divisible by both numbers.
Least Common Multiple (LCM) of 4385 and 4390 is 3850030.
LCM(4385,4390) = 3850030
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 4390. First we will calculate the prime factors of 4385 and 4390.
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 4390
2 | 4390 |
5 | 2195 |
439 | 439 |
1 |
Prime factors of 4390 are 2, 5,439. Prime factorization of 4390 in exponential form is:
4390 = 21×51×4391
Now multiplying the highest exponent prime factors to calculate the LCM of 4385 and 4390.
LCM(4385,4390) = 21×51×4391×8771
LCM(4385,4390) = 3850030
Factors of 4385
List of positive integer factors of 4385 that divides 4385 without a remainder.
1, 5, 877, 4385
Factors of 4390
List of positive integer factors of 4390 that divides 4390 without a remainder.
1, 2, 5, 10, 439, 878, 2195, 4390
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4385 and 4390, than apply into the LCM equation.
GCF(4385,4390) = 5
LCM(4385,4390) = ( 4385 × 4390) / 5
LCM(4385,4390) = 19250150 / 5
LCM(4385,4390) = 3850030
(i) The LCM of 4390 and 4385 is associative
LCM of 4385 and 4390 = LCM of 4390 and 4385
1. What is the LCM of 4385 and 4390?
Answer: LCM of 4385 and 4390 is 3850030.
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 4390?
Answer: Factors of 4390 are 1, 2, 5, 10, 439, 878, 2195, 4390. There are 8 integers that are factors of 4390. The greatest factor of 4390 is 4390.
4. How to Find the LCM of 4385 and 4390?
Answer:
Least Common Multiple of 4385 and 4390 = 3850030
Step 1: Find the prime factorization of 4385
4385 = 5 x 877
Step 2: Find the prime factorization of 4390
4390 = 2 x 5 x 439
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3850030 = 2 x 5 x 439 x 877
Step 4: Therefore, the least common multiple of 4385 and 4390 is 3850030.