Least Common Multiple (LCM) of 170 and 184
The least common multiple (LCM) of 170 and 184 is 15640.
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 184?
First, calculate the GCD of 170 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 184 = 0 remainder 170 |
| 2 | 184 ÷ 170 = 1 remainder 14 |
| 3 | 170 ÷ 14 = 12 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 11 | 572 |
| 81 and 153 | 1377 |
| 99 and 119 | 11781 |
| 112 and 15 | 1680 |
| 163 and 199 | 32437 |