Least Common Multiple (LCM) of 132 and 176
The least common multiple (LCM) of 132 and 176 is 528.
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 176?
First, calculate the GCD of 132 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 176 = 0 remainder 132 |
| 2 | 176 ÷ 132 = 1 remainder 44 |
| 3 | 132 ÷ 44 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 132 | 132 |
| 187 and 32 | 5984 |
| 169 and 25 | 4225 |
| 170 and 55 | 1870 |
| 196 and 60 | 2940 |