Least Common Multiple of 3758 and 3765
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3758 and 3765 the smallest integer that is 14148870 that is divisible by both numbers.
Least Common Multiple (LCM) of 3758 and 3765 is 14148870.
LCM(3758,3765) = 14148870
LCM of 3758 and 3765
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3758 and 3765 by Prime method
- Least Common Multiple of 3758 and 3765 with GCF Formula
LCM of 3758 and 3765 is 14148870
Least common multiple can be found by multiplying the highest exponent prime factors of 3758 and 3765. First we will calculate the prime factors of 3758 and 3765.
Prime Factorization of 3758
| 2 | 3758 |
| 1879 | 1879 |
| 1 |
Prime factors of 3758 are 2,1879. Prime factorization of 3758 in exponential form is:
3758 = 21×18791
Prime Factorization of 3765
| 3 | 3765 |
| 5 | 1255 |
| 251 | 251 |
| 1 |
Prime factors of 3765 are 3, 5,251. Prime factorization of 3765 in exponential form is:
3765 = 31×51×2511
Now multiplying the highest exponent prime factors to calculate the LCM of 3758 and 3765.
LCM(3758,3765) = 21×31×51×2511×18791
LCM(3758,3765) = 14148870
Factors of 3758
List of positive integer factors of 3758 that divides 3758 without a remainder.
1, 2, 1879, 3758
Factors of 3765
List of positive integer factors of 3765 that divides 3765 without a remainder.
1, 3, 5, 15, 251, 753, 1255, 3765
Least Common Multiple of 3758 and 3765 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3758 and 3765, than apply into the LCM equation.
GCF(3758,3765) = 1
LCM(3758,3765) = ( 3758 × 3765) / 1
LCM(3758,3765) = 14148870 / 1
LCM(3758,3765) = 14148870
Properties of LCM 3758 and 3765
(i) The LCM of 3765 and 3758 is associative
LCM of 3758 and 3765 = LCM of 3765 and 3758
Related Least Common Multiples of 3758
Related Least Common Multiples of 3765
Frequently Asked Questions on LCM of 3758 and 3765
1. What is the LCM of 3758 and 3765?
Answer: LCM of 3758 and 3765 is 14148870.
2. What are the Factors of 3758?
Answer: Factors of 3758 are 1, 2, 1879, 3758. There are 4 integers that are factors of 3758. The greatest factor of 3758 is 3758.
3. What are the Factors of 3765?
Answer: Factors of 3765 are 1, 3, 5, 15, 251, 753, 1255, 3765. There are 8 integers that are factors of 3765. The greatest factor of 3765 is 3765.
4. How to Find the LCM of 3758 and 3765?
Answer:
Least Common Multiple of 3758 and 3765 = 14148870
Step 1: Find the prime factorization of 3758
3758 = 2 x 1879
Step 2: Find the prime factorization of 3765
3765 = 3 x 5 x 251
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14148870 = 2 x 3 x 5 x 251 x 1879
Step 4: Therefore, the least common multiple of 3758 and 3765 is 14148870.