Least Common Multiple of 703 and 705
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 703 and 705 the smallest integer that is 495615 that is divisible by both numbers.
Least Common Multiple (LCM) of 703 and 705 is 495615.
LCM(703,705) = 495615
LCM of 703 and 705
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 703 and 705 by Prime method
- Least Common Multiple of 703 and 705 with GCF Formula
LCM of 703 and 705 is 495615
Least common multiple can be found by multiplying the highest exponent prime factors of 703 and 705. First we will calculate the prime factors of 703 and 705.
Prime Factorization of 703
| 19 | 703 |
| 37 | 37 |
| 1 |
Prime factors of 703 are 19,37. Prime factorization of 703 in exponential form is:
703 = 191×371
Prime Factorization of 705
| 3 | 705 |
| 5 | 235 |
| 47 | 47 |
| 1 |
Prime factors of 705 are 3, 5,47. Prime factorization of 705 in exponential form is:
705 = 31×51×471
Now multiplying the highest exponent prime factors to calculate the LCM of 703 and 705.
LCM(703,705) = 31×51×191×371×471
LCM(703,705) = 495615
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Least Common Multiple of 703 and 705 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 703 and 705, than apply into the LCM equation.
GCF(703,705) = 1
LCM(703,705) = ( 703 × 705) / 1
LCM(703,705) = 495615 / 1
LCM(703,705) = 495615
Properties of LCM 703 and 705
(i) The LCM of 705 and 703 is associative
LCM of 703 and 705 = LCM of 705 and 703
Related Least Common Multiples of 703
Related Least Common Multiples of 705
Frequently Asked Questions on LCM of 703 and 705
1. What is the LCM of 703 and 705?
Answer: LCM of 703 and 705 is 495615.
2. What are the Factors of 703?
Answer: Factors of 703 are 1, 19, 37, 703. There are 4 integers that are factors of 703. The greatest factor of 703 is 703.
3. What are the Factors of 705?
Answer: Factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705. There are 8 integers that are factors of 705. The greatest factor of 705 is 705.
4. How to Find the LCM of 703 and 705?
Answer:
Least Common Multiple of 703 and 705 = 495615
Step 1: Find the prime factorization of 703
703 = 19 x 37
Step 2: Find the prime factorization of 705
705 = 3 x 5 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 495615 = 3 x 5 x 19 x 37 x 47
Step 4: Therefore, the least common multiple of 703 and 705 is 495615.