Least Common Multiple (LCM) of 132 and 93
The least common multiple (LCM) of 132 and 93 is 4092.
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 93?
First, calculate the GCD of 132 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 93 = 1 remainder 39 |
| 2 | 93 ÷ 39 = 2 remainder 15 |
| 3 | 39 ÷ 15 = 2 remainder 9 |
| 4 | 15 ÷ 9 = 1 remainder 6 |
| 5 | 9 ÷ 6 = 1 remainder 3 |
| 6 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 100 | 2700 |
| 113 and 90 | 10170 |
| 185 and 51 | 9435 |
| 171 and 172 | 29412 |
| 194 and 93 | 18042 |