Least Common Multiple (LCM) of 173 and 84
The least common multiple (LCM) of 173 and 84 is 14532.
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 173 and 84?
First, calculate the GCD of 173 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 84 = 2 remainder 5 |
| 2 | 84 ÷ 5 = 16 remainder 4 |
| 3 | 5 ÷ 4 = 1 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 90 | 1710 |
| 105 and 134 | 14070 |
| 193 and 52 | 10036 |
| 103 and 187 | 19261 |
| 65 and 137 | 8905 |