Least Common Multiple (LCM) of 132 and 115
The least common multiple (LCM) of 132 and 115 is 15180.
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 115?
First, calculate the GCD of 132 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 115 = 1 remainder 17 |
| 2 | 115 ÷ 17 = 6 remainder 13 |
| 3 | 17 ÷ 13 = 1 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 35 | 5355 |
| 151 and 170 | 25670 |
| 31 and 21 | 651 |
| 92 and 141 | 12972 |
| 199 and 71 | 14129 |