Least Common Multiple of 685 and 689
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 685 and 689 the smallest integer that is 471965 that is divisible by both numbers.
Least Common Multiple (LCM) of 685 and 689 is 471965.
LCM(685,689) = 471965
LCM of 685 and 689
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 685 and 689 by Prime method
- Least Common Multiple of 685 and 689 with GCF Formula
LCM of 685 and 689 is 471965
Least common multiple can be found by multiplying the highest exponent prime factors of 685 and 689. First we will calculate the prime factors of 685 and 689.
Prime Factorization of 685
| 5 | 685 |
| 137 | 137 |
| 1 |
Prime factors of 685 are 5,137. Prime factorization of 685 in exponential form is:
685 = 51×1371
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
Now multiplying the highest exponent prime factors to calculate the LCM of 685 and 689.
LCM(685,689) = 51×131×531×1371
LCM(685,689) = 471965
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Least Common Multiple of 685 and 689 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 685 and 689, than apply into the LCM equation.
GCF(685,689) = 1
LCM(685,689) = ( 685 × 689) / 1
LCM(685,689) = 471965 / 1
LCM(685,689) = 471965
Properties of LCM 685 and 689
(i) The LCM of 689 and 685 is associative
LCM of 685 and 689 = LCM of 689 and 685
Related Least Common Multiples of 685
Related Least Common Multiples of 689
Frequently Asked Questions on LCM of 685 and 689
1. What is the LCM of 685 and 689?
Answer: LCM of 685 and 689 is 471965.
2. What are the Factors of 685?
Answer: Factors of 685 are 1, 5, 137, 685. There are 4 integers that are factors of 685. The greatest factor of 685 is 685.
3. 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.
4. How to Find the LCM of 685 and 689?
Answer:
Least Common Multiple of 685 and 689 = 471965
Step 1: Find the prime factorization of 685
685 = 5 x 137
Step 2: Find the prime factorization of 689
689 = 13 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 471965 = 5 x 13 x 53 x 137
Step 4: Therefore, the least common multiple of 685 and 689 is 471965.