Least Common Multiple (LCM) of 169 and 58
The least common multiple (LCM) of 169 and 58 is 9802.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 169 and 58?
First, calculate the GCD of 169 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 58 = 2 remainder 53 |
| 2 | 58 ÷ 53 = 1 remainder 5 |
| 3 | 53 ÷ 5 = 10 remainder 3 |
| 4 | 5 ÷ 3 = 1 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 123 | 13530 |
| 48 and 66 | 528 |
| 175 and 25 | 175 |
| 185 and 64 | 11840 |
| 159 and 42 | 2226 |