Least Common Multiple (LCM) of 87 and 134
The least common multiple (LCM) of 87 and 134 is 11658.
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 87 and 134?
First, calculate the GCD of 87 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 134 = 0 remainder 87 |
| 2 | 134 ÷ 87 = 1 remainder 47 |
| 3 | 87 ÷ 47 = 1 remainder 40 |
| 4 | 47 ÷ 40 = 1 remainder 7 |
| 5 | 40 ÷ 7 = 5 remainder 5 |
| 6 | 7 ÷ 5 = 1 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 180 | 8820 |
| 11 and 85 | 935 |
| 74 and 92 | 3404 |
| 198 and 180 | 1980 |
| 199 and 192 | 38208 |