Least Common Multiple (LCM) of 170 and 94
The least common multiple (LCM) of 170 and 94 is 7990.
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 94?
First, calculate the GCD of 170 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 94 = 1 remainder 76 |
| 2 | 94 ÷ 76 = 1 remainder 18 |
| 3 | 76 ÷ 18 = 4 remainder 4 |
| 4 | 18 ÷ 4 = 4 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 114 | 19266 |
| 142 and 154 | 10934 |
| 116 and 189 | 21924 |
| 97 and 32 | 3104 |
| 188 and 171 | 32148 |