Least Common Multiple (LCM) of 169 and 170
The least common multiple (LCM) of 169 and 170 is 28730.
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 170?
First, calculate the GCD of 169 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 170 = 0 remainder 169 |
| 2 | 170 ÷ 169 = 1 remainder 1 |
| 3 | 169 ÷ 1 = 169 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 43 | 6235 |
| 147 and 61 | 8967 |
| 105 and 68 | 7140 |
| 92 and 188 | 4324 |
| 18 and 65 | 1170 |