Least Common Multiple (LCM) of 36 and 11
The least common multiple (LCM) of 36 and 11 is 396.
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 36 and 11?
First, calculate the GCD of 36 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 11 = 3 remainder 3 |
| 2 | 11 ÷ 3 = 3 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 45 | 1845 |
| 126 and 16 | 1008 |
| 23 and 101 | 2323 |
| 141 and 67 | 9447 |
| 200 and 196 | 9800 |