Least Common Multiple (LCM) of 87 and 158
The least common multiple (LCM) of 87 and 158 is 13746.
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 158?
First, calculate the GCD of 87 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 158 = 0 remainder 87 |
| 2 | 158 ÷ 87 = 1 remainder 71 |
| 3 | 87 ÷ 71 = 1 remainder 16 |
| 4 | 71 ÷ 16 = 4 remainder 7 |
| 5 | 16 ÷ 7 = 2 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 22 and 127 | 2794 |
| 114 and 180 | 3420 |
| 198 and 191 | 37818 |
| 147 and 63 | 441 |
| 16 and 146 | 1168 |