Least Common Multiple (LCM) of 172 and 115
The least common multiple (LCM) of 172 and 115 is 19780.
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 172 and 115?
First, calculate the GCD of 172 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 115 = 1 remainder 57 |
| 2 | 115 ÷ 57 = 2 remainder 1 |
| 3 | 57 ÷ 1 = 57 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 16 | 592 |
| 136 and 170 | 680 |
| 147 and 32 | 4704 |
| 189 and 10 | 1890 |
| 16 and 23 | 368 |