Least Common Multiple of 689 and 694
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 689 and 694 the smallest integer that is 478166 that is divisible by both numbers.
Least Common Multiple (LCM) of 689 and 694 is 478166.
LCM(689,694) = 478166
LCM of 689 and 694
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 689 and 694 by Prime method
- Least Common Multiple of 689 and 694 with GCF Formula
LCM of 689 and 694 is 478166
Least common multiple can be found by multiplying the highest exponent prime factors of 689 and 694. First we will calculate the prime factors of 689 and 694.
Prime Factorization of 689
| 13 | 689 |
| 53 | 53 |
| 1 |
Prime factors of 689 are 13,53. Prime factorization of 689 in exponential form is:
689 = 131×531
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
Now multiplying the highest exponent prime factors to calculate the LCM of 689 and 694.
LCM(689,694) = 21×131×531×3471
LCM(689,694) = 478166
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Least Common Multiple of 689 and 694 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 689 and 694, than apply into the LCM equation.
GCF(689,694) = 1
LCM(689,694) = ( 689 × 694) / 1
LCM(689,694) = 478166 / 1
LCM(689,694) = 478166
Properties of LCM 689 and 694
(i) The LCM of 694 and 689 is associative
LCM of 689 and 694 = LCM of 694 and 689
Related Least Common Multiples of 689
Related Least Common Multiples of 694
Frequently Asked Questions on LCM of 689 and 694
1. What is the LCM of 689 and 694?
Answer: LCM of 689 and 694 is 478166.
2. What are the Factors of 689?
Answer: Factors of 689 are 1, 13, 53, 689. There are 4 integers that are factors of 689. The greatest factor of 689 is 689.
3. 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.
4. How to Find the LCM of 689 and 694?
Answer:
Least Common Multiple of 689 and 694 = 478166
Step 1: Find the prime factorization of 689
689 = 13 x 53
Step 2: Find the prime factorization of 694
694 = 2 x 347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 478166 = 2 x 13 x 53 x 347
Step 4: Therefore, the least common multiple of 689 and 694 is 478166.