Least Common Multiple (LCM) of 132 and 84
The least common multiple (LCM) of 132 and 84 is 924.
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 84?
First, calculate the GCD of 132 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 84 = 1 remainder 48 |
| 2 | 84 ÷ 48 = 1 remainder 36 |
| 3 | 48 ÷ 36 = 1 remainder 12 |
| 4 | 36 ÷ 12 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 48 | 1296 |
| 76 and 182 | 6916 |
| 107 and 193 | 20651 |
| 55 and 58 | 3190 |
| 104 and 157 | 16328 |