Least Common Multiple (LCM) of 132 and 111
The least common multiple (LCM) of 132 and 111 is 4884.
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 132 and 111?
First, calculate the GCD of 132 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 111 = 1 remainder 21 |
| 2 | 111 ÷ 21 = 5 remainder 6 |
| 3 | 21 ÷ 6 = 3 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 55 | 5995 |
| 136 and 74 | 5032 |
| 82 and 112 | 4592 |
| 130 and 69 | 8970 |
| 20 and 37 | 740 |