Least Common Multiple (LCM) of 170 and 60
The least common multiple (LCM) of 170 and 60 is 1020.
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 60?
First, calculate the GCD of 170 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 60 = 2 remainder 50 |
| 2 | 60 ÷ 50 = 1 remainder 10 |
| 3 | 50 ÷ 10 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 161 | 4669 |
| 96 and 192 | 192 |
| 70 and 34 | 1190 |
| 163 and 109 | 17767 |
| 15 and 177 | 885 |