Least Common Multiple (LCM) of 172 and 93
The least common multiple (LCM) of 172 and 93 is 15996.
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 93?
First, calculate the GCD of 172 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 93 = 1 remainder 79 |
| 2 | 93 ÷ 79 = 1 remainder 14 |
| 3 | 79 ÷ 14 = 5 remainder 9 |
| 4 | 14 ÷ 9 = 1 remainder 5 |
| 5 | 9 ÷ 5 = 1 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 192 | 3648 |
| 133 and 126 | 2394 |
| 175 and 52 | 9100 |
| 78 and 47 | 3666 |
| 110 and 16 | 880 |