Least Common Multiple of 697 and 703
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 697 and 703 the smallest integer that is 489991 that is divisible by both numbers.
Least Common Multiple (LCM) of 697 and 703 is 489991.
LCM(697,703) = 489991
LCM of 697 and 703
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 697 and 703 by Prime method
- Least Common Multiple of 697 and 703 with GCF Formula
LCM of 697 and 703 is 489991
Least common multiple can be found by multiplying the highest exponent prime factors of 697 and 703. First we will calculate the prime factors of 697 and 703.
Prime Factorization of 697
| 17 | 697 |
| 41 | 41 |
| 1 |
Prime factors of 697 are 17,41. Prime factorization of 697 in exponential form is:
697 = 171×411
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
Now multiplying the highest exponent prime factors to calculate the LCM of 697 and 703.
LCM(697,703) = 171×191×371×411
LCM(697,703) = 489991
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Least Common Multiple of 697 and 703 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 697 and 703, than apply into the LCM equation.
GCF(697,703) = 1
LCM(697,703) = ( 697 × 703) / 1
LCM(697,703) = 489991 / 1
LCM(697,703) = 489991
Properties of LCM 697 and 703
(i) The LCM of 703 and 697 is associative
LCM of 697 and 703 = LCM of 703 and 697
Related Least Common Multiples of 697
Related Least Common Multiples of 703
Frequently Asked Questions on LCM of 697 and 703
1. What is the LCM of 697 and 703?
Answer: LCM of 697 and 703 is 489991.
2. What are the Factors of 697?
Answer: Factors of 697 are 1, 17, 41, 697. There are 4 integers that are factors of 697. The greatest factor of 697 is 697.
3. 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.
4. How to Find the LCM of 697 and 703?
Answer:
Least Common Multiple of 697 and 703 = 489991
Step 1: Find the prime factorization of 697
697 = 17 x 41
Step 2: Find the prime factorization of 703
703 = 19 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 489991 = 17 x 19 x 37 x 41
Step 4: Therefore, the least common multiple of 697 and 703 is 489991.
