Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3966 and 3972 the smallest integer that is 2625492 that is divisible by both numbers.
Least Common Multiple (LCM) of 3966 and 3972 is 2625492.
LCM(3966,3972) = 2625492
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 3966 and 3972. First we will calculate the prime factors of 3966 and 3972.
Prime Factorization of 3966
2 | 3966 |
3 | 1983 |
661 | 661 |
1 |
Prime factors of 3966 are 2, 3,661. Prime factorization of 3966 in exponential form is:
3966 = 21×31×6611
Prime Factorization of 3972
2 | 3972 |
2 | 1986 |
3 | 993 |
331 | 331 |
1 |
Prime factors of 3972 are 2, 3,331. Prime factorization of 3972 in exponential form is:
3972 = 22×31×3311
Now multiplying the highest exponent prime factors to calculate the LCM of 3966 and 3972.
LCM(3966,3972) = 22×31×3311×6611
LCM(3966,3972) = 2625492
Factors of 3966
List of positive integer factors of 3966 that divides 3966 without a remainder.
1, 2, 3, 6, 661, 1322, 1983, 3966
Factors of 3972
List of positive integer factors of 3972 that divides 3972 without a remainder.
1, 2, 3, 4, 6, 12, 331, 662, 993, 1324, 1986, 3972
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3966 and 3972, than apply into the LCM equation.
GCF(3966,3972) = 6
LCM(3966,3972) = ( 3966 × 3972) / 6
LCM(3966,3972) = 15752952 / 6
LCM(3966,3972) = 2625492
(i) The LCM of 3972 and 3966 is associative
LCM of 3966 and 3972 = LCM of 3972 and 3966
1. What is the LCM of 3966 and 3972?
Answer: LCM of 3966 and 3972 is 2625492.
2. What are the Factors of 3966?
Answer: Factors of 3966 are 1, 2, 3, 6, 661, 1322, 1983, 3966. There are 8 integers that are factors of 3966. The greatest factor of 3966 is 3966.
3. What are the Factors of 3972?
Answer: Factors of 3972 are 1, 2, 3, 4, 6, 12, 331, 662, 993, 1324, 1986, 3972. There are 12 integers that are factors of 3972. The greatest factor of 3972 is 3972.
4. How to Find the LCM of 3966 and 3972?
Answer:
Least Common Multiple of 3966 and 3972 = 2625492
Step 1: Find the prime factorization of 3966
3966 = 2 x 3 x 661
Step 2: Find the prime factorization of 3972
3972 = 2 x 2 x 3 x 331
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2625492 = 2 x 2 x 3 x 331 x 661
Step 4: Therefore, the least common multiple of 3966 and 3972 is 2625492.