Least Common Multiple (LCM) of 173 and 115
The least common multiple (LCM) of 173 and 115 is 19895.
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 115?
First, calculate the GCD of 173 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 115 = 1 remainder 58 |
| 2 | 115 ÷ 58 = 1 remainder 57 |
| 3 | 58 ÷ 57 = 1 remainder 1 |
| 4 | 57 ÷ 1 = 57 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 106 | 3710 |
| 100 and 50 | 100 |
| 35 and 31 | 1085 |
| 116 and 55 | 6380 |
| 128 and 63 | 8064 |