Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3862 and 3866 the smallest integer that is 7465246 that is divisible by both numbers.
Least Common Multiple (LCM) of 3862 and 3866 is 7465246.
LCM(3862,3866) = 7465246
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 3862 and 3866. First we will calculate the prime factors of 3862 and 3866.
Prime Factorization of 3862
2 | 3862 |
1931 | 1931 |
1 |
Prime factors of 3862 are 2,1931. Prime factorization of 3862 in exponential form is:
3862 = 21×19311
Prime Factorization of 3866
2 | 3866 |
1933 | 1933 |
1 |
Prime factors of 3866 are 2,1933. Prime factorization of 3866 in exponential form is:
3866 = 21×19331
Now multiplying the highest exponent prime factors to calculate the LCM of 3862 and 3866.
LCM(3862,3866) = 21×19311×19331
LCM(3862,3866) = 7465246
Factors of 3862
List of positive integer factors of 3862 that divides 3862 without a remainder.
1, 2, 1931, 3862
Factors of 3866
List of positive integer factors of 3866 that divides 3866 without a remainder.
1, 2, 1933, 3866
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3862 and 3866, than apply into the LCM equation.
GCF(3862,3866) = 2
LCM(3862,3866) = ( 3862 × 3866) / 2
LCM(3862,3866) = 14930492 / 2
LCM(3862,3866) = 7465246
(i) The LCM of 3866 and 3862 is associative
LCM of 3862 and 3866 = LCM of 3866 and 3862
1. What is the LCM of 3862 and 3866?
Answer: LCM of 3862 and 3866 is 7465246.
2. What are the Factors of 3862?
Answer: Factors of 3862 are 1, 2, 1931, 3862. There are 4 integers that are factors of 3862. The greatest factor of 3862 is 3862.
3. What are the Factors of 3866?
Answer: Factors of 3866 are 1, 2, 1933, 3866. There are 4 integers that are factors of 3866. The greatest factor of 3866 is 3866.
4. How to Find the LCM of 3862 and 3866?
Answer:
Least Common Multiple of 3862 and 3866 = 7465246
Step 1: Find the prime factorization of 3862
3862 = 2 x 1931
Step 2: Find the prime factorization of 3866
3866 = 2 x 1933
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7465246 = 2 x 1931 x 1933
Step 4: Therefore, the least common multiple of 3862 and 3866 is 7465246.