Least Common Multiple (LCM) of 185 and 132
The least common multiple (LCM) of 185 and 132 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 185 and 132?
First, calculate the GCD of 185 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 132 = 1 remainder 53 |
| 2 | 132 ÷ 53 = 2 remainder 26 |
| 3 | 53 ÷ 26 = 2 remainder 1 |
| 4 | 26 ÷ 1 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 120 | 360 |
| 105 and 183 | 6405 |
| 70 and 68 | 2380 |
| 197 and 87 | 17139 |
| 40 and 138 | 2760 |