Least Common Multiple (LCM) of 95 and 132
The least common multiple (LCM) of 95 and 132 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 95 and 132?
First, calculate the GCD of 95 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 132 = 0 remainder 95 |
| 2 | 132 ÷ 95 = 1 remainder 37 |
| 3 | 95 ÷ 37 = 2 remainder 21 |
| 4 | 37 ÷ 21 = 1 remainder 16 |
| 5 | 21 ÷ 16 = 1 remainder 5 |
| 6 | 16 ÷ 5 = 3 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 107 | 20009 |
| 10 and 37 | 370 |
| 120 and 22 | 1320 |
| 188 and 18 | 1692 |
| 200 and 96 | 2400 |