Least Common Multiple (LCM) of 18 and 36
The least common multiple (LCM) of 18 and 36 is 36.
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 18 and 36?
First, calculate the GCD of 18 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 18 ÷ 36 = 0 remainder 18 |
| 2 | 36 ÷ 18 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 121 | 16940 |
| 108 and 186 | 3348 |
| 198 and 48 | 1584 |
| 82 and 195 | 15990 |
| 27 and 44 | 1188 |