Least Common Multiple (LCM) of 81 and 147
The least common multiple (LCM) of 81 and 147 is 3969.
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 147?
First, calculate the GCD of 81 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 147 = 0 remainder 81 |
| 2 | 147 ÷ 81 = 1 remainder 66 |
| 3 | 81 ÷ 66 = 1 remainder 15 |
| 4 | 66 ÷ 15 = 4 remainder 6 |
| 5 | 15 ÷ 6 = 2 remainder 3 |
| 6 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 85 | 13940 |
| 127 and 177 | 22479 |
| 62 and 178 | 5518 |
| 130 and 63 | 8190 |
| 131 and 68 | 8908 |