Least Common Multiple of 7707 and 7715
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7707 and 7715 the smallest integer that is 59459505 that is divisible by both numbers.
Least Common Multiple (LCM) of 7707 and 7715 is 59459505.
LCM(7707,7715) = 59459505
LCM of 7707 and 7715
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7707 and 7715 by Prime method
- Least Common Multiple of 7707 and 7715 with GCF Formula
LCM of 7707 and 7715 is 59459505
Least common multiple can be found by multiplying the highest exponent prime factors of 7707 and 7715. First we will calculate the prime factors of 7707 and 7715.
Prime Factorization of 7707
| 3 | 7707 |
| 7 | 2569 |
| 367 | 367 |
| 1 |
Prime factors of 7707 are 3, 7,367. Prime factorization of 7707 in exponential form is:
7707 = 31×71×3671
Prime Factorization of 7715
| 5 | 7715 |
| 1543 | 1543 |
| 1 |
Prime factors of 7715 are 5,1543. Prime factorization of 7715 in exponential form is:
7715 = 51×15431
Now multiplying the highest exponent prime factors to calculate the LCM of 7707 and 7715.
LCM(7707,7715) = 31×51×71×3671×15431
LCM(7707,7715) = 59459505
Factors of 7707
List of positive integer factors of 7707 that divides 7707 without a remainder.
1, 3, 7, 21, 367, 1101, 2569, 7707
Factors of 7715
List of positive integer factors of 7715 that divides 7715 without a remainder.
1, 5, 1543, 7715
Least Common Multiple of 7707 and 7715 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7707 and 7715, than apply into the LCM equation.
GCF(7707,7715) = 1
LCM(7707,7715) = ( 7707 × 7715) / 1
LCM(7707,7715) = 59459505 / 1
LCM(7707,7715) = 59459505
Properties of LCM 7707 and 7715
(i) The LCM of 7715 and 7707 is associative
LCM of 7707 and 7715 = LCM of 7715 and 7707
Related Least Common Multiples of 7707
Related Least Common Multiples of 7715
Frequently Asked Questions on LCM of 7707 and 7715
1. What is the LCM of 7707 and 7715?
Answer: LCM of 7707 and 7715 is 59459505.
2. What are the Factors of 7707?
Answer: Factors of 7707 are 1, 3, 7, 21, 367, 1101, 2569, 7707. There are 8 integers that are factors of 7707. The greatest factor of 7707 is 7707.
3. What are the Factors of 7715?
Answer: Factors of 7715 are 1, 5, 1543, 7715. There are 4 integers that are factors of 7715. The greatest factor of 7715 is 7715.
4. How to Find the LCM of 7707 and 7715?
Answer:
Least Common Multiple of 7707 and 7715 = 59459505
Step 1: Find the prime factorization of 7707
7707 = 3 x 7 x 367
Step 2: Find the prime factorization of 7715
7715 = 5 x 1543
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59459505 = 3 x 5 x 7 x 367 x 1543
Step 4: Therefore, the least common multiple of 7707 and 7715 is 59459505.