Least Common Multiple of 3735 and 3743
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3735 and 3743 the smallest integer that is 13980105 that is divisible by both numbers.
Least Common Multiple (LCM) of 3735 and 3743 is 13980105.
LCM(3735,3743) = 13980105
LCM of 3735 and 3743
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3735 and 3743 by Prime method
- Least Common Multiple of 3735 and 3743 with GCF Formula
LCM of 3735 and 3743 is 13980105
Least common multiple can be found by multiplying the highest exponent prime factors of 3735 and 3743. First we will calculate the prime factors of 3735 and 3743.
Prime Factorization of 3735
| 3 | 3735 |
| 3 | 1245 |
| 5 | 415 |
| 83 | 83 |
| 1 |
Prime factors of 3735 are 3, 5,83. Prime factorization of 3735 in exponential form is:
3735 = 32×51×831
Prime Factorization of 3743
| 19 | 3743 |
| 197 | 197 |
| 1 |
Prime factors of 3743 are 19,197. Prime factorization of 3743 in exponential form is:
3743 = 191×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 3735 and 3743.
LCM(3735,3743) = 32×51×191×831×1971
LCM(3735,3743) = 13980105
Factors of 3735
List of positive integer factors of 3735 that divides 3735 without a remainder.
1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245, 3735
Factors of 3743
List of positive integer factors of 3743 that divides 3743 without a remainder.
1, 19, 197, 3743
Least Common Multiple of 3735 and 3743 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3735 and 3743, than apply into the LCM equation.
GCF(3735,3743) = 1
LCM(3735,3743) = ( 3735 × 3743) / 1
LCM(3735,3743) = 13980105 / 1
LCM(3735,3743) = 13980105
Properties of LCM 3735 and 3743
(i) The LCM of 3743 and 3735 is associative
LCM of 3735 and 3743 = LCM of 3743 and 3735
Related Least Common Multiples of 3735
Related Least Common Multiples of 3743
Frequently Asked Questions on LCM of 3735 and 3743
1. What is the LCM of 3735 and 3743?
Answer: LCM of 3735 and 3743 is 13980105.
2. What are the Factors of 3735?
Answer: Factors of 3735 are 1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245, 3735. There are 12 integers that are factors of 3735. The greatest factor of 3735 is 3735.
3. What are the Factors of 3743?
Answer: Factors of 3743 are 1, 19, 197, 3743. There are 4 integers that are factors of 3743. The greatest factor of 3743 is 3743.
4. How to Find the LCM of 3735 and 3743?
Answer:
Least Common Multiple of 3735 and 3743 = 13980105
Step 1: Find the prime factorization of 3735
3735 = 3 x 3 x 5 x 83
Step 2: Find the prime factorization of 3743
3743 = 19 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13980105 = 3 x 3 x 5 x 19 x 83 x 197
Step 4: Therefore, the least common multiple of 3735 and 3743 is 13980105.