Least Common Multiple (LCM) of 178 and 170
The least common multiple (LCM) of 178 and 170 is 15130.
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 178 and 170?
First, calculate the GCD of 178 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 170 = 1 remainder 8 |
| 2 | 170 ÷ 8 = 21 remainder 2 |
| 3 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 53 | 106 |
| 193 and 29 | 5597 |
| 88 and 142 | 6248 |
| 22 and 101 | 2222 |
| 85 and 162 | 13770 |