Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3868 and 3874 the smallest integer that is 7492316 that is divisible by both numbers.
Least Common Multiple (LCM) of 3868 and 3874 is 7492316.
LCM(3868,3874) = 7492316
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 3868 and 3874. First we will calculate the prime factors of 3868 and 3874.
Prime Factorization of 3868
2 | 3868 |
2 | 1934 |
967 | 967 |
1 |
Prime factors of 3868 are 2,967. Prime factorization of 3868 in exponential form is:
3868 = 22×9671
Prime Factorization of 3874
2 | 3874 |
13 | 1937 |
149 | 149 |
1 |
Prime factors of 3874 are 2, 13,149. Prime factorization of 3874 in exponential form is:
3874 = 21×131×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 3868 and 3874.
LCM(3868,3874) = 22×131×1491×9671
LCM(3868,3874) = 7492316
Factors of 3868
List of positive integer factors of 3868 that divides 3868 without a remainder.
1, 2, 4, 967, 1934, 3868
Factors of 3874
List of positive integer factors of 3874 that divides 3874 without a remainder.
1, 2, 13, 26, 149, 298, 1937, 3874
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3868 and 3874, than apply into the LCM equation.
GCF(3868,3874) = 2
LCM(3868,3874) = ( 3868 × 3874) / 2
LCM(3868,3874) = 14984632 / 2
LCM(3868,3874) = 7492316
(i) The LCM of 3874 and 3868 is associative
LCM of 3868 and 3874 = LCM of 3874 and 3868
1. What is the LCM of 3868 and 3874?
Answer: LCM of 3868 and 3874 is 7492316.
2. What are the Factors of 3868?
Answer: Factors of 3868 are 1, 2, 4, 967, 1934, 3868. There are 6 integers that are factors of 3868. The greatest factor of 3868 is 3868.
3. What are the Factors of 3874?
Answer: Factors of 3874 are 1, 2, 13, 26, 149, 298, 1937, 3874. There are 8 integers that are factors of 3874. The greatest factor of 3874 is 3874.
4. How to Find the LCM of 3868 and 3874?
Answer:
Least Common Multiple of 3868 and 3874 = 7492316
Step 1: Find the prime factorization of 3868
3868 = 2 x 2 x 967
Step 2: Find the prime factorization of 3874
3874 = 2 x 13 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7492316 = 2 x 2 x 13 x 149 x 967
Step 4: Therefore, the least common multiple of 3868 and 3874 is 7492316.