Least Common Multiple of 781 and 782
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 781 and 782 the smallest integer that is 610742 that is divisible by both numbers.
Least Common Multiple (LCM) of 781 and 782 is 610742.
LCM(781,782) = 610742
LCM of 781 and 782
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 781 and 782 by Prime method
- Least Common Multiple of 781 and 782 with GCF Formula
LCM of 781 and 782 is 610742
Least common multiple can be found by multiplying the highest exponent prime factors of 781 and 782. First we will calculate the prime factors of 781 and 782.
Prime Factorization of 781
| 11 | 781 |
| 71 | 71 |
| 1 |
Prime factors of 781 are 11,71. Prime factorization of 781 in exponential form is:
781 = 111×711
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
Now multiplying the highest exponent prime factors to calculate the LCM of 781 and 782.
LCM(781,782) = 21×111×171×231×711
LCM(781,782) = 610742
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1, 11, 71, 781
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Least Common Multiple of 781 and 782 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 781 and 782, than apply into the LCM equation.
GCF(781,782) = 1
LCM(781,782) = ( 781 × 782) / 1
LCM(781,782) = 610742 / 1
LCM(781,782) = 610742
Properties of LCM 781 and 782
(i) The LCM of 782 and 781 is associative
LCM of 781 and 782 = LCM of 782 and 781
Related Least Common Multiples of 781
Related Least Common Multiples of 782
Frequently Asked Questions on LCM of 781 and 782
1. What is the LCM of 781 and 782?
Answer: LCM of 781 and 782 is 610742.
2. What are the Factors of 781?
Answer: Factors of 781 are 1, 11, 71, 781. There are 4 integers that are factors of 781. The greatest factor of 781 is 781.
3. 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.
4. How to Find the LCM of 781 and 782?
Answer:
Least Common Multiple of 781 and 782 = 610742
Step 1: Find the prime factorization of 781
781 = 11 x 71
Step 2: Find the prime factorization of 782
782 = 2 x 17 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 610742 = 2 x 11 x 17 x 23 x 71
Step 4: Therefore, the least common multiple of 781 and 782 is 610742.