Least Common Multiple (LCM) of 132 and 54
The least common multiple (LCM) of 132 and 54 is 1188.
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 54?
First, calculate the GCD of 132 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 54 = 2 remainder 24 |
| 2 | 54 ÷ 24 = 2 remainder 6 |
| 3 | 24 ÷ 6 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 71 | 8023 |
| 130 and 137 | 17810 |
| 174 and 167 | 29058 |
| 158 and 13 | 2054 |
| 84 and 66 | 924 |