Least Common Multiple (LCM) of 170 and 120
The least common multiple (LCM) of 170 and 120 is 2040.
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 120?
First, calculate the GCD of 170 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 120 = 1 remainder 50 |
| 2 | 120 ÷ 50 = 2 remainder 20 |
| 3 | 50 ÷ 20 = 2 remainder 10 |
| 4 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 42 | 4578 |
| 158 and 107 | 16906 |
| 100 and 98 | 4900 |
| 59 and 97 | 5723 |
| 80 and 41 | 3280 |