Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3792 and 3796 the smallest integer that is 3598608 that is divisible by both numbers.
Least Common Multiple (LCM) of 3792 and 3796 is 3598608.
LCM(3792,3796) = 3598608
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 3792 and 3796. First we will calculate the prime factors of 3792 and 3796.
Prime Factorization of 3792
2 | 3792 |
2 | 1896 |
2 | 948 |
2 | 474 |
3 | 237 |
79 | 79 |
1 |
Prime factors of 3792 are 2, 3,79. Prime factorization of 3792 in exponential form is:
3792 = 24×31×791
Prime Factorization of 3796
2 | 3796 |
2 | 1898 |
13 | 949 |
73 | 73 |
1 |
Prime factors of 3796 are 2, 13,73. Prime factorization of 3796 in exponential form is:
3796 = 22×131×731
Now multiplying the highest exponent prime factors to calculate the LCM of 3792 and 3796.
LCM(3792,3796) = 24×31×131×731×791
LCM(3792,3796) = 3598608
Factors of 3792
List of positive integer factors of 3792 that divides 3792 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896, 3792
Factors of 3796
List of positive integer factors of 3796 that divides 3796 without a remainder.
1, 2, 4, 13, 26, 52, 73, 146, 292, 949, 1898, 3796
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3792 and 3796, than apply into the LCM equation.
GCF(3792,3796) = 4
LCM(3792,3796) = ( 3792 × 3796) / 4
LCM(3792,3796) = 14394432 / 4
LCM(3792,3796) = 3598608
(i) The LCM of 3796 and 3792 is associative
LCM of 3792 and 3796 = LCM of 3796 and 3792
1. What is the LCM of 3792 and 3796?
Answer: LCM of 3792 and 3796 is 3598608.
2. What are the Factors of 3792?
Answer: Factors of 3792 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896, 3792. There are 20 integers that are factors of 3792. The greatest factor of 3792 is 3792.
3. What are the Factors of 3796?
Answer: Factors of 3796 are 1, 2, 4, 13, 26, 52, 73, 146, 292, 949, 1898, 3796. There are 12 integers that are factors of 3796. The greatest factor of 3796 is 3796.
4. How to Find the LCM of 3792 and 3796?
Answer:
Least Common Multiple of 3792 and 3796 = 3598608
Step 1: Find the prime factorization of 3792
3792 = 2 x 2 x 2 x 2 x 3 x 79
Step 2: Find the prime factorization of 3796
3796 = 2 x 2 x 13 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3598608 = 2 x 2 x 2 x 2 x 3 x 13 x 73 x 79
Step 4: Therefore, the least common multiple of 3792 and 3796 is 3598608.