Least Common Multiple of 3878 and 3883
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3878 and 3883 the smallest integer that is 15058274 that is divisible by both numbers.
Least Common Multiple (LCM) of 3878 and 3883 is 15058274.
LCM(3878,3883) = 15058274
LCM of 3878 and 3883
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3878 and 3883 by Prime method
- Least Common Multiple of 3878 and 3883 with GCF Formula
LCM of 3878 and 3883 is 15058274
Least common multiple can be found by multiplying the highest exponent prime factors of 3878 and 3883. First we will calculate the prime factors of 3878 and 3883.
Prime Factorization of 3878
| 2 | 3878 |
| 7 | 1939 |
| 277 | 277 |
| 1 |
Prime factors of 3878 are 2, 7,277. Prime factorization of 3878 in exponential form is:
3878 = 21×71×2771
Prime Factorization of 3883
| 11 | 3883 |
| 353 | 353 |
| 1 |
Prime factors of 3883 are 11,353. Prime factorization of 3883 in exponential form is:
3883 = 111×3531
Now multiplying the highest exponent prime factors to calculate the LCM of 3878 and 3883.
LCM(3878,3883) = 21×71×111×2771×3531
LCM(3878,3883) = 15058274
Factors of 3878
List of positive integer factors of 3878 that divides 3878 without a remainder.
1, 2, 7, 14, 277, 554, 1939, 3878
Factors of 3883
List of positive integer factors of 3883 that divides 3883 without a remainder.
1, 11, 353, 3883
Least Common Multiple of 3878 and 3883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3878 and 3883, than apply into the LCM equation.
GCF(3878,3883) = 1
LCM(3878,3883) = ( 3878 × 3883) / 1
LCM(3878,3883) = 15058274 / 1
LCM(3878,3883) = 15058274
Properties of LCM 3878 and 3883
(i) The LCM of 3883 and 3878 is associative
LCM of 3878 and 3883 = LCM of 3883 and 3878
Related Least Common Multiples of 3878
Related Least Common Multiples of 3883
Frequently Asked Questions on LCM of 3878 and 3883
1. What is the LCM of 3878 and 3883?
Answer: LCM of 3878 and 3883 is 15058274.
2. What are the Factors of 3878?
Answer: Factors of 3878 are 1, 2, 7, 14, 277, 554, 1939, 3878. There are 8 integers that are factors of 3878. The greatest factor of 3878 is 3878.
3. What are the Factors of 3883?
Answer: Factors of 3883 are 1, 11, 353, 3883. There are 4 integers that are factors of 3883. The greatest factor of 3883 is 3883.
4. How to Find the LCM of 3878 and 3883?
Answer:
Least Common Multiple of 3878 and 3883 = 15058274
Step 1: Find the prime factorization of 3878
3878 = 2 x 7 x 277
Step 2: Find the prime factorization of 3883
3883 = 11 x 353
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15058274 = 2 x 7 x 11 x 277 x 353
Step 4: Therefore, the least common multiple of 3878 and 3883 is 15058274.