Least Common Multiple (LCM) of 162 and 187
The least common multiple (LCM) of 162 and 187 is 30294.
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 162 and 187?
First, calculate the GCD of 162 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 187 = 0 remainder 162 |
| 2 | 187 ÷ 162 = 1 remainder 25 |
| 3 | 162 ÷ 25 = 6 remainder 12 |
| 4 | 25 ÷ 12 = 2 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 91 | 1365 |
| 155 and 186 | 930 |
| 41 and 172 | 7052 |
| 11 and 92 | 1012 |
| 189 and 64 | 12096 |