Least Common Multiple (LCM) of 188 and 132
The least common multiple (LCM) of 188 and 132 is 6204.
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 188 and 132?
First, calculate the GCD of 188 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 132 = 1 remainder 56 |
| 2 | 132 ÷ 56 = 2 remainder 20 |
| 3 | 56 ÷ 20 = 2 remainder 16 |
| 4 | 20 ÷ 16 = 1 remainder 4 |
| 5 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 92 | 17940 |
| 31 and 81 | 2511 |
| 39 and 12 | 156 |
| 186 and 135 | 8370 |
| 90 and 135 | 270 |