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 3797 the smallest integer that is 14398224 that is divisible by both numbers.
Least Common Multiple (LCM) of 3792 and 3797 is 14398224.
LCM(3792,3797) = 14398224
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 3797. First we will calculate the prime factors of 3792 and 3797.
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 3797
3797 | 3797 |
1 |
Prime factors of 3797 are 3797. Prime factorization of 3797 in exponential form is:
3797 = 37971
Now multiplying the highest exponent prime factors to calculate the LCM of 3792 and 3797.
LCM(3792,3797) = 24×31×791×37971
LCM(3792,3797) = 14398224
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 3797
List of positive integer factors of 3797 that divides 3797 without a remainder.
1, 3797
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3792 and 3797, than apply into the LCM equation.
GCF(3792,3797) = 1
LCM(3792,3797) = ( 3792 × 3797) / 1
LCM(3792,3797) = 14398224 / 1
LCM(3792,3797) = 14398224
(i) The LCM of 3797 and 3792 is associative
LCM of 3792 and 3797 = LCM of 3797 and 3792
1. What is the LCM of 3792 and 3797?
Answer: LCM of 3792 and 3797 is 14398224.
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 3797?
Answer: Factors of 3797 are 1, 3797. There are 2 integers that are factors of 3797. The greatest factor of 3797 is 3797.
4. How to Find the LCM of 3792 and 3797?
Answer:
Least Common Multiple of 3792 and 3797 = 14398224
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 3797
3797 = 3797
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14398224 = 2 x 2 x 2 x 2 x 3 x 79 x 3797
Step 4: Therefore, the least common multiple of 3792 and 3797 is 14398224.