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 692 the smallest integer that is 476788 that is divisible by both numbers.
Least Common Multiple (LCM) of 689 and 692 is 476788.
LCM(689,692) = 476788
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 689 and 692. First we will calculate the prime factors of 689 and 692.
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 692
2 | 692 |
2 | 346 |
173 | 173 |
1 |
Prime factors of 692 are 2,173. Prime factorization of 692 in exponential form is:
692 = 22×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 689 and 692.
LCM(689,692) = 22×131×531×1731
LCM(689,692) = 476788
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 689 and 692, than apply into the LCM equation.
GCF(689,692) = 1
LCM(689,692) = ( 689 × 692) / 1
LCM(689,692) = 476788 / 1
LCM(689,692) = 476788
(i) The LCM of 692 and 689 is associative
LCM of 689 and 692 = LCM of 692 and 689
1. What is the LCM of 689 and 692?
Answer: LCM of 689 and 692 is 476788.
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 692?
Answer: Factors of 692 are 1, 2, 4, 173, 346, 692. There are 6 integers that are factors of 692. The greatest factor of 692 is 692.
4. How to Find the LCM of 689 and 692?
Answer:
Least Common Multiple of 689 and 692 = 476788
Step 1: Find the prime factorization of 689
689 = 13 x 53
Step 2: Find the prime factorization of 692
692 = 2 x 2 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 476788 = 2 x 2 x 13 x 53 x 173
Step 4: Therefore, the least common multiple of 689 and 692 is 476788.