Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3783 and 3785 the smallest integer that is 14318655 that is divisible by both numbers.
Least Common Multiple (LCM) of 3783 and 3785 is 14318655.
LCM(3783,3785) = 14318655
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 3783 and 3785. First we will calculate the prime factors of 3783 and 3785.
Prime Factorization of 3783
3 | 3783 |
13 | 1261 |
97 | 97 |
1 |
Prime factors of 3783 are 3, 13,97. Prime factorization of 3783 in exponential form is:
3783 = 31×131×971
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3783 and 3785.
LCM(3783,3785) = 31×51×131×971×7571
LCM(3783,3785) = 14318655
Factors of 3783
List of positive integer factors of 3783 that divides 3783 without a remainder.
1, 3, 13, 39, 97, 291, 1261, 3783
Factors of 3785
List of positive integer factors of 3785 that divides 3785 without a remainder.
1, 5, 757, 3785
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3783 and 3785, than apply into the LCM equation.
GCF(3783,3785) = 1
LCM(3783,3785) = ( 3783 × 3785) / 1
LCM(3783,3785) = 14318655 / 1
LCM(3783,3785) = 14318655
(i) The LCM of 3785 and 3783 is associative
LCM of 3783 and 3785 = LCM of 3785 and 3783
1. What is the LCM of 3783 and 3785?
Answer: LCM of 3783 and 3785 is 14318655.
2. What are the Factors of 3783?
Answer: Factors of 3783 are 1, 3, 13, 39, 97, 291, 1261, 3783. There are 8 integers that are factors of 3783. The greatest factor of 3783 is 3783.
3. 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.
4. How to Find the LCM of 3783 and 3785?
Answer:
Least Common Multiple of 3783 and 3785 = 14318655
Step 1: Find the prime factorization of 3783
3783 = 3 x 13 x 97
Step 2: Find the prime factorization of 3785
3785 = 5 x 757
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14318655 = 3 x 5 x 13 x 97 x 757
Step 4: Therefore, the least common multiple of 3783 and 3785 is 14318655.