Least Common Multiple (LCM) of 170 and 40
The least common multiple (LCM) of 170 and 40 is 680.
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 40?
First, calculate the GCD of 170 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 40 = 4 remainder 10 |
| 2 | 40 ÷ 10 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 118 | 16166 |
| 180 and 124 | 5580 |
| 78 and 26 | 78 |
| 47 and 143 | 6721 |
| 87 and 139 | 12093 |