Least Common Multiple (LCM) of 170 and 43
The least common multiple (LCM) of 170 and 43 is 7310.
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 43?
First, calculate the GCD of 170 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 43 = 3 remainder 41 |
| 2 | 43 ÷ 41 = 1 remainder 2 |
| 3 | 41 ÷ 2 = 20 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 157 | 20881 |
| 161 and 42 | 966 |
| 15 and 136 | 2040 |
| 78 and 124 | 4836 |
| 112 and 96 | 672 |