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 4383 the smallest integer that is 19188774 that is divisible by both numbers.
Least Common Multiple (LCM) of 4378 and 4383 is 19188774.
LCM(4378,4383) = 19188774
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 4383. First we will calculate the prime factors of 4378 and 4383.
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 4383
3 | 4383 |
3 | 1461 |
487 | 487 |
1 |
Prime factors of 4383 are 3,487. Prime factorization of 4383 in exponential form is:
4383 = 32×4871
Now multiplying the highest exponent prime factors to calculate the LCM of 4378 and 4383.
LCM(4378,4383) = 21×32×111×1991×4871
LCM(4378,4383) = 19188774
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 4383
List of positive integer factors of 4383 that divides 4383 without a remainder.
1, 3, 9, 487, 1461, 4383
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4378 and 4383, than apply into the LCM equation.
GCF(4378,4383) = 1
LCM(4378,4383) = ( 4378 × 4383) / 1
LCM(4378,4383) = 19188774 / 1
LCM(4378,4383) = 19188774
(i) The LCM of 4383 and 4378 is associative
LCM of 4378 and 4383 = LCM of 4383 and 4378
1. What is the LCM of 4378 and 4383?
Answer: LCM of 4378 and 4383 is 19188774.
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 4383?
Answer: Factors of 4383 are 1, 3, 9, 487, 1461, 4383. There are 6 integers that are factors of 4383. The greatest factor of 4383 is 4383.
4. How to Find the LCM of 4378 and 4383?
Answer:
Least Common Multiple of 4378 and 4383 = 19188774
Step 1: Find the prime factorization of 4378
4378 = 2 x 11 x 199
Step 2: Find the prime factorization of 4383
4383 = 3 x 3 x 487
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19188774 = 2 x 3 x 3 x 11 x 199 x 487
Step 4: Therefore, the least common multiple of 4378 and 4383 is 19188774.