Least Common Multiple (LCM) of 182 and 187
The least common multiple (LCM) of 182 and 187 is 34034.
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 182 and 187?
First, calculate the GCD of 182 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 187 = 0 remainder 182 |
| 2 | 187 ÷ 182 = 1 remainder 5 |
| 3 | 182 ÷ 5 = 36 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 18 | 666 |
| 130 and 66 | 4290 |
| 123 and 25 | 3075 |
| 112 and 164 | 4592 |
| 199 and 85 | 16915 |