Least Common Multiple (LCM) of 170 and 45
The least common multiple (LCM) of 170 and 45 is 1530.
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 45?
First, calculate the GCD of 170 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 45 = 3 remainder 35 |
| 2 | 45 ÷ 35 = 1 remainder 10 |
| 3 | 35 ÷ 10 = 3 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 66 | 2046 |
| 140 and 39 | 5460 |
| 85 and 56 | 4760 |
| 184 and 17 | 3128 |
| 93 and 192 | 5952 |