Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4378 and 4385 the smallest integer that is 19197530 that is divisible by both numbers.
Least Common Multiple (LCM) of 4378 and 4385 is 19197530.
LCM(4378,4385) = 19197530
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 4378 and 4385. First we will calculate the prime factors of 4378 and 4385.
Prime Factorization of 4378
2 | 4378 |
11 | 2189 |
199 | 199 |
1 |
Prime factors of 4378 are 2, 11,199. Prime factorization of 4378 in exponential form is:
4378 = 21×111×1991
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4378 and 4385.
LCM(4378,4385) = 21×51×111×1991×8771
LCM(4378,4385) = 19197530
Factors of 4378
List of positive integer factors of 4378 that divides 4378 without a remainder.
1, 2, 11, 22, 199, 398, 2189, 4378
Factors of 4385
List of positive integer factors of 4385 that divides 4385 without a remainder.
1, 5, 877, 4385
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4378 and 4385, than apply into the LCM equation.
GCF(4378,4385) = 1
LCM(4378,4385) = ( 4378 × 4385) / 1
LCM(4378,4385) = 19197530 / 1
LCM(4378,4385) = 19197530
(i) The LCM of 4385 and 4378 is associative
LCM of 4378 and 4385 = LCM of 4385 and 4378
1. What is the LCM of 4378 and 4385?
Answer: LCM of 4378 and 4385 is 19197530.
2. What are the Factors of 4378?
Answer: Factors of 4378 are 1, 2, 11, 22, 199, 398, 2189, 4378. There are 8 integers that are factors of 4378. The greatest factor of 4378 is 4378.
3. 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.
4. How to Find the LCM of 4378 and 4385?
Answer:
Least Common Multiple of 4378 and 4385 = 19197530
Step 1: Find the prime factorization of 4378
4378 = 2 x 11 x 199
Step 2: Find the prime factorization of 4385
4385 = 5 x 877
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19197530 = 2 x 5 x 11 x 199 x 877
Step 4: Therefore, the least common multiple of 4378 and 4385 is 19197530.