Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3806 and 3814 the smallest integer that is 7258042 that is divisible by both numbers.
Least Common Multiple (LCM) of 3806 and 3814 is 7258042.
LCM(3806,3814) = 7258042
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 3806 and 3814. First we will calculate the prime factors of 3806 and 3814.
Prime Factorization of 3806
2 | 3806 |
11 | 1903 |
173 | 173 |
1 |
Prime factors of 3806 are 2, 11,173. Prime factorization of 3806 in exponential form is:
3806 = 21×111×1731
Prime Factorization of 3814
2 | 3814 |
1907 | 1907 |
1 |
Prime factors of 3814 are 2,1907. Prime factorization of 3814 in exponential form is:
3814 = 21×19071
Now multiplying the highest exponent prime factors to calculate the LCM of 3806 and 3814.
LCM(3806,3814) = 21×111×1731×19071
LCM(3806,3814) = 7258042
Factors of 3806
List of positive integer factors of 3806 that divides 3806 without a remainder.
1, 2, 11, 22, 173, 346, 1903, 3806
Factors of 3814
List of positive integer factors of 3814 that divides 3814 without a remainder.
1, 2, 1907, 3814
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3806 and 3814, than apply into the LCM equation.
GCF(3806,3814) = 2
LCM(3806,3814) = ( 3806 × 3814) / 2
LCM(3806,3814) = 14516084 / 2
LCM(3806,3814) = 7258042
(i) The LCM of 3814 and 3806 is associative
LCM of 3806 and 3814 = LCM of 3814 and 3806
1. What is the LCM of 3806 and 3814?
Answer: LCM of 3806 and 3814 is 7258042.
2. What are the Factors of 3806?
Answer: Factors of 3806 are 1, 2, 11, 22, 173, 346, 1903, 3806. There are 8 integers that are factors of 3806. The greatest factor of 3806 is 3806.
3. What are the Factors of 3814?
Answer: Factors of 3814 are 1, 2, 1907, 3814. There are 4 integers that are factors of 3814. The greatest factor of 3814 is 3814.
4. How to Find the LCM of 3806 and 3814?
Answer:
Least Common Multiple of 3806 and 3814 = 7258042
Step 1: Find the prime factorization of 3806
3806 = 2 x 11 x 173
Step 2: Find the prime factorization of 3814
3814 = 2 x 1907
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7258042 = 2 x 11 x 173 x 1907
Step 4: Therefore, the least common multiple of 3806 and 3814 is 7258042.