Least Common Multiple of 694 and 697
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 694 and 697 the smallest integer that is 483718 that is divisible by both numbers.
Least Common Multiple (LCM) of 694 and 697 is 483718.
LCM(694,697) = 483718
LCM of 694 and 697
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 694 and 697 by Prime method
- Least Common Multiple of 694 and 697 with GCF Formula
LCM of 694 and 697 is 483718
Least common multiple can be found by multiplying the highest exponent prime factors of 694 and 697. First we will calculate the prime factors of 694 and 697.
Prime Factorization of 694
| 2 | 694 |
| 347 | 347 |
| 1 |
Prime factors of 694 are 2,347. Prime factorization of 694 in exponential form is:
694 = 21×3471
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
Now multiplying the highest exponent prime factors to calculate the LCM of 694 and 697.
LCM(694,697) = 21×171×411×3471
LCM(694,697) = 483718
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Least Common Multiple of 694 and 697 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 694 and 697, than apply into the LCM equation.
GCF(694,697) = 1
LCM(694,697) = ( 694 × 697) / 1
LCM(694,697) = 483718 / 1
LCM(694,697) = 483718
Properties of LCM 694 and 697
(i) The LCM of 697 and 694 is associative
LCM of 694 and 697 = LCM of 697 and 694
Related Least Common Multiples of 694
Related Least Common Multiples of 697
Frequently Asked Questions on LCM of 694 and 697
1. What is the LCM of 694 and 697?
Answer: LCM of 694 and 697 is 483718.
2. What are the Factors of 694?
Answer: Factors of 694 are 1, 2, 347, 694. There are 4 integers that are factors of 694. The greatest factor of 694 is 694.
3. 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.
4. How to Find the LCM of 694 and 697?
Answer:
Least Common Multiple of 694 and 697 = 483718
Step 1: Find the prime factorization of 694
694 = 2 x 347
Step 2: Find the prime factorization of 697
697 = 17 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 483718 = 2 x 17 x 41 x 347
Step 4: Therefore, the least common multiple of 694 and 697 is 483718.
