Least Common Multiple (LCM) of 182 and 189
The least common multiple (LCM) of 182 and 189 is 4914.
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 189?
First, calculate the GCD of 182 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 189 = 0 remainder 182 |
| 2 | 189 ÷ 182 = 1 remainder 7 |
| 3 | 182 ÷ 7 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 96 | 1056 |
| 135 and 117 | 1755 |
| 86 and 49 | 4214 |
| 194 and 135 | 26190 |
| 90 and 171 | 1710 |