Least Common Multiple (LCM) of 132 and 55
The least common multiple (LCM) of 132 and 55 is 660.
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 55?
First, calculate the GCD of 132 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 55 = 2 remainder 22 |
| 2 | 55 ÷ 22 = 2 remainder 11 |
| 3 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 143 | 16016 |
| 58 and 35 | 2030 |
| 19 and 136 | 2584 |
| 185 and 137 | 25345 |
| 126 and 42 | 126 |