Least Common Multiple (LCM) of 172 and 187
The least common multiple (LCM) of 172 and 187 is 32164.
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 187?
First, calculate the GCD of 172 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 187 = 0 remainder 172 |
| 2 | 187 ÷ 172 = 1 remainder 15 |
| 3 | 172 ÷ 15 = 11 remainder 7 |
| 4 | 15 ÷ 7 = 2 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 174 | 1566 |
| 91 and 84 | 1092 |
| 154 and 80 | 6160 |
| 83 and 124 | 10292 |
| 29 and 147 | 4263 |