Least Common Multiple (LCM) of 173 and 64
The least common multiple (LCM) of 173 and 64 is 11072.
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 64?
First, calculate the GCD of 173 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 64 = 2 remainder 45 |
| 2 | 64 ÷ 45 = 1 remainder 19 |
| 3 | 45 ÷ 19 = 2 remainder 7 |
| 4 | 19 ÷ 7 = 2 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 105 | 5460 |
| 126 and 186 | 3906 |
| 146 and 63 | 9198 |
| 43 and 15 | 645 |
| 102 and 40 | 2040 |