Least Common Multiple of 3899 and 3906
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3899 and 3906 the smallest integer that is 2175642 that is divisible by both numbers.
Least Common Multiple (LCM) of 3899 and 3906 is 2175642.
LCM(3899,3906) = 2175642
LCM of 3899 and 3906
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3899 and 3906 by Prime method
- Least Common Multiple of 3899 and 3906 with GCF Formula
LCM of 3899 and 3906 is 2175642
Least common multiple can be found by multiplying the highest exponent prime factors of 3899 and 3906. First we will calculate the prime factors of 3899 and 3906.
Prime Factorization of 3899
| 7 | 3899 |
| 557 | 557 |
| 1 |
Prime factors of 3899 are 7,557. Prime factorization of 3899 in exponential form is:
3899 = 71×5571
Prime Factorization of 3906
| 2 | 3906 |
| 3 | 1953 |
| 3 | 651 |
| 7 | 217 |
| 31 | 31 |
| 1 |
Prime factors of 3906 are 2, 3, 7,31. Prime factorization of 3906 in exponential form is:
3906 = 21×32×71×311
Now multiplying the highest exponent prime factors to calculate the LCM of 3899 and 3906.
LCM(3899,3906) = 21×32×71×311×5571
LCM(3899,3906) = 2175642
Factors of 3899
List of positive integer factors of 3899 that divides 3899 without a remainder.
1, 7, 557, 3899
Factors of 3906
List of positive integer factors of 3906 that divides 3906 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953, 3906
Least Common Multiple of 3899 and 3906 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3899 and 3906, than apply into the LCM equation.
GCF(3899,3906) = 7
LCM(3899,3906) = ( 3899 × 3906) / 7
LCM(3899,3906) = 15229494 / 7
LCM(3899,3906) = 2175642
Properties of LCM 3899 and 3906
(i) The LCM of 3906 and 3899 is associative
LCM of 3899 and 3906 = LCM of 3906 and 3899
Related Least Common Multiples of 3899
Related Least Common Multiples of 3906
Frequently Asked Questions on LCM of 3899 and 3906
1. What is the LCM of 3899 and 3906?
Answer: LCM of 3899 and 3906 is 2175642.
2. What are the Factors of 3899?
Answer: Factors of 3899 are 1, 7, 557, 3899. There are 4 integers that are factors of 3899. The greatest factor of 3899 is 3899.
3. What are the Factors of 3906?
Answer: Factors of 3906 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953, 3906. There are 24 integers that are factors of 3906. The greatest factor of 3906 is 3906.
4. How to Find the LCM of 3899 and 3906?
Answer:
Least Common Multiple of 3899 and 3906 = 2175642
Step 1: Find the prime factorization of 3899
3899 = 7 x 557
Step 2: Find the prime factorization of 3906
3906 = 2 x 3 x 3 x 7 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2175642 = 2 x 3 x 3 x 7 x 31 x 557
Step 4: Therefore, the least common multiple of 3899 and 3906 is 2175642.