Least Common Multiple (LCM) of 146 and 170
The least common multiple (LCM) of 146 and 170 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 146 and 170?
First, calculate the GCD of 146 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 170 = 0 remainder 146 |
| 2 | 170 ÷ 146 = 1 remainder 24 |
| 3 | 146 ÷ 24 = 6 remainder 2 |
| 4 | 24 ÷ 2 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 172 | 4988 |
| 58 and 13 | 754 |
| 113 and 40 | 4520 |
| 114 and 175 | 19950 |
| 134 and 122 | 8174 |