Least Common Multiple (LCM) of 170 and 146
The least common multiple (LCM) of 170 and 146 is 12410.
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 146?
First, calculate the GCD of 170 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 146 = 1 remainder 24 |
| 2 | 146 ÷ 24 = 6 remainder 2 |
| 3 | 24 ÷ 2 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 10 | 160 |
| 40 and 117 | 4680 |
| 147 and 103 | 15141 |
| 177 and 179 | 31683 |
| 152 and 116 | 4408 |