Least Common Multiple (LCM) of 132 and 185
The least common multiple (LCM) of 132 and 185 is 24420.
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 185?
First, calculate the GCD of 132 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 185 = 0 remainder 132 |
| 2 | 185 ÷ 132 = 1 remainder 53 |
| 3 | 132 ÷ 53 = 2 remainder 26 |
| 4 | 53 ÷ 26 = 2 remainder 1 |
| 5 | 26 ÷ 1 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 65 | 3705 |
| 36 and 54 | 108 |
| 141 and 55 | 7755 |
| 108 and 18 | 108 |
| 97 and 117 | 11349 |