Least Common Multiple (LCM) of 172 and 195
The least common multiple (LCM) of 172 and 195 is 33540.
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 195?
First, calculate the GCD of 172 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 195 = 0 remainder 172 |
| 2 | 195 ÷ 172 = 1 remainder 23 |
| 3 | 172 ÷ 23 = 7 remainder 11 |
| 4 | 23 ÷ 11 = 2 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 194 | 13192 |
| 22 and 46 | 506 |
| 169 and 179 | 30251 |
| 16 and 148 | 592 |
| 102 and 84 | 1428 |