Least Common Multiple (LCM) of 81 and 158
The least common multiple (LCM) of 81 and 158 is 12798.
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 81 and 158?
First, calculate the GCD of 81 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 158 = 0 remainder 81 |
| 2 | 158 ÷ 81 = 1 remainder 77 |
| 3 | 81 ÷ 77 = 1 remainder 4 |
| 4 | 77 ÷ 4 = 19 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 71 | 7526 |
| 160 and 121 | 19360 |
| 45 and 152 | 6840 |
| 91 and 182 | 182 |
| 141 and 15 | 705 |