Least Common Multiple of 4371 and 4378
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4371 and 4378 the smallest integer that is 19136238 that is divisible by both numbers.
Least Common Multiple (LCM) of 4371 and 4378 is 19136238.
LCM(4371,4378) = 19136238
LCM of 4371 and 4378
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4371 and 4378 by Prime method
- Least Common Multiple of 4371 and 4378 with GCF Formula
LCM of 4371 and 4378 is 19136238
Least common multiple can be found by multiplying the highest exponent prime factors of 4371 and 4378. First we will calculate the prime factors of 4371 and 4378.
Prime Factorization of 4371
| 3 | 4371 |
| 31 | 1457 |
| 47 | 47 |
| 1 |
Prime factors of 4371 are 3, 31,47. Prime factorization of 4371 in exponential form is:
4371 = 31×311×471
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4371 and 4378.
LCM(4371,4378) = 21×31×111×311×471×1991
LCM(4371,4378) = 19136238
Factors of 4371
List of positive integer factors of 4371 that divides 4371 without a remainder.
1, 3, 31, 47, 93, 141, 1457, 4371
Factors of 4378
List of positive integer factors of 4378 that divides 4378 without a remainder.
1, 2, 11, 22, 199, 398, 2189, 4378
Least Common Multiple of 4371 and 4378 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4371 and 4378, than apply into the LCM equation.
GCF(4371,4378) = 1
LCM(4371,4378) = ( 4371 × 4378) / 1
LCM(4371,4378) = 19136238 / 1
LCM(4371,4378) = 19136238
Properties of LCM 4371 and 4378
(i) The LCM of 4378 and 4371 is associative
LCM of 4371 and 4378 = LCM of 4378 and 4371
Related Least Common Multiples of 4371
Related Least Common Multiples of 4378
Frequently Asked Questions on LCM of 4371 and 4378
1. What is the LCM of 4371 and 4378?
Answer: LCM of 4371 and 4378 is 19136238.
2. What are the Factors of 4371?
Answer: Factors of 4371 are 1, 3, 31, 47, 93, 141, 1457, 4371. There are 8 integers that are factors of 4371. The greatest factor of 4371 is 4371.
3. 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.
4. How to Find the LCM of 4371 and 4378?
Answer:
Least Common Multiple of 4371 and 4378 = 19136238
Step 1: Find the prime factorization of 4371
4371 = 3 x 31 x 47
Step 2: Find the prime factorization of 4378
4378 = 2 x 11 x 199
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19136238 = 2 x 3 x 11 x 31 x 47 x 199
Step 4: Therefore, the least common multiple of 4371 and 4378 is 19136238.