Least Common Multiple (LCM) of 170 and 169
The least common multiple (LCM) of 170 and 169 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 170 and 169?
First, calculate the GCD of 170 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 169 = 1 remainder 1 |
| 2 | 169 ÷ 1 = 169 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 95 | 3895 |
| 69 and 118 | 8142 |
| 64 and 78 | 2496 |
| 198 and 199 | 39402 |
| 135 and 128 | 17280 |