Least Common Multiple (LCM) of 170 and 164
The least common multiple (LCM) of 170 and 164 is 13940.
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 164?
First, calculate the GCD of 170 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 164 = 1 remainder 6 |
| 2 | 164 ÷ 6 = 27 remainder 2 |
| 3 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 51 | 1428 |
| 32 and 126 | 2016 |
| 94 and 95 | 8930 |
| 74 and 71 | 5254 |
| 150 and 29 | 4350 |