Least Common Multiple of 782 and 787
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 782 and 787 the smallest integer that is 615434 that is divisible by both numbers.
Least Common Multiple (LCM) of 782 and 787 is 615434.
LCM(782,787) = 615434
LCM of 782 and 787
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 782 and 787 by Prime method
- Least Common Multiple of 782 and 787 with GCF Formula
LCM of 782 and 787 is 615434
Least common multiple can be found by multiplying the highest exponent prime factors of 782 and 787. First we will calculate the prime factors of 782 and 787.
Prime Factorization of 782
| 2 | 782 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 782 are 2, 17,23. Prime factorization of 782 in exponential form is:
782 = 21×171×231
Prime Factorization of 787
| 787 | 787 |
| 1 |
Prime factors of 787 are 787. Prime factorization of 787 in exponential form is:
787 = 7871
Now multiplying the highest exponent prime factors to calculate the LCM of 782 and 787.
LCM(782,787) = 21×171×231×7871
LCM(782,787) = 615434
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1, 787
Least Common Multiple of 782 and 787 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 782 and 787, than apply into the LCM equation.
GCF(782,787) = 1
LCM(782,787) = ( 782 × 787) / 1
LCM(782,787) = 615434 / 1
LCM(782,787) = 615434
Properties of LCM 782 and 787
(i) The LCM of 787 and 782 is associative
LCM of 782 and 787 = LCM of 787 and 782
Related Least Common Multiples of 782
Related Least Common Multiples of 787
Frequently Asked Questions on LCM of 782 and 787
1. What is the LCM of 782 and 787?
Answer: LCM of 782 and 787 is 615434.
2. What are the Factors of 782?
Answer: Factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782. There are 8 integers that are factors of 782. The greatest factor of 782 is 782.
3. What are the Factors of 787?
Answer: Factors of 787 are 1, 787. There are 2 integers that are factors of 787. The greatest factor of 787 is 787.
4. How to Find the LCM of 782 and 787?
Answer:
Least Common Multiple of 782 and 787 = 615434
Step 1: Find the prime factorization of 782
782 = 2 x 17 x 23
Step 2: Find the prime factorization of 787
787 = 787
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 615434 = 2 x 17 x 23 x 787
Step 4: Therefore, the least common multiple of 782 and 787 is 615434.