Least Common Multiple (LCM) of 180 and 132
The least common multiple (LCM) of 180 and 132 is 1980.
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 180 and 132?
First, calculate the GCD of 180 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 132 = 1 remainder 48 |
| 2 | 132 ÷ 48 = 2 remainder 36 |
| 3 | 48 ÷ 36 = 1 remainder 12 |
| 4 | 36 ÷ 12 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 164 | 6560 |
| 55 and 136 | 7480 |
| 199 and 29 | 5771 |
| 136 and 78 | 5304 |
| 157 and 160 | 25120 |