Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3785 and 3792 the smallest integer that is 14352720 that is divisible by both numbers.
Least Common Multiple (LCM) of 3785 and 3792 is 14352720.
LCM(3785,3792) = 14352720
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 3785 and 3792. First we will calculate the prime factors of 3785 and 3792.
Prime Factorization of 3785
5 | 3785 |
757 | 757 |
1 |
Prime factors of 3785 are 5,757. Prime factorization of 3785 in exponential form is:
3785 = 51×7571
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3785 and 3792.
LCM(3785,3792) = 24×31×51×791×7571
LCM(3785,3792) = 14352720
Factors of 3785
List of positive integer factors of 3785 that divides 3785 without a remainder.
1, 5, 757, 3785
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3785 and 3792, than apply into the LCM equation.
GCF(3785,3792) = 1
LCM(3785,3792) = ( 3785 × 3792) / 1
LCM(3785,3792) = 14352720 / 1
LCM(3785,3792) = 14352720
(i) The LCM of 3792 and 3785 is associative
LCM of 3785 and 3792 = LCM of 3792 and 3785
1. What is the LCM of 3785 and 3792?
Answer: LCM of 3785 and 3792 is 14352720.
2. What are the Factors of 3785?
Answer: Factors of 3785 are 1, 5, 757, 3785. There are 4 integers that are factors of 3785. The greatest factor of 3785 is 3785.
3. 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.
4. How to Find the LCM of 3785 and 3792?
Answer:
Least Common Multiple of 3785 and 3792 = 14352720
Step 1: Find the prime factorization of 3785
3785 = 5 x 757
Step 2: Find the prime factorization of 3792
3792 = 2 x 2 x 2 x 2 x 3 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14352720 = 2 x 2 x 2 x 2 x 3 x 5 x 79 x 757
Step 4: Therefore, the least common multiple of 3785 and 3792 is 14352720.