Least Common Multiple (LCM) of 157 and 81
The least common multiple (LCM) of 157 and 81 is 12717.
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 157 and 81?
First, calculate the GCD of 157 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 81 = 1 remainder 76 |
| 2 | 81 ÷ 76 = 1 remainder 5 |
| 3 | 76 ÷ 5 = 15 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 124 | 12276 |
| 189 and 108 | 756 |
| 154 and 181 | 27874 |
| 112 and 75 | 8400 |
| 183 and 83 | 15189 |