Least Common Multiple (LCM) of 87 and 116
The least common multiple (LCM) of 87 and 116 is 348.
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 116?
First, calculate the GCD of 87 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 116 = 0 remainder 87 |
| 2 | 116 ÷ 87 = 1 remainder 29 |
| 3 | 87 ÷ 29 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 26 | 1378 |
| 32 and 135 | 4320 |
| 51 and 136 | 408 |
| 16 and 35 | 560 |
| 189 and 167 | 31563 |