Least Common Multiple (LCM) of 132 and 95
The least common multiple (LCM) of 132 and 95 is 12540.
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 95?
First, calculate the GCD of 132 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 95 = 1 remainder 37 |
| 2 | 95 ÷ 37 = 2 remainder 21 |
| 3 | 37 ÷ 21 = 1 remainder 16 |
| 4 | 21 ÷ 16 = 1 remainder 5 |
| 5 | 16 ÷ 5 = 3 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 92 | 7084 |
| 130 and 33 | 4290 |
| 133 and 31 | 4123 |
| 71 and 165 | 11715 |
| 78 and 56 | 2184 |