Least Common Multiple (LCM) of 81 and 156
The least common multiple (LCM) of 81 and 156 is 4212.
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 156?
First, calculate the GCD of 81 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 156 = 0 remainder 81 |
| 2 | 156 ÷ 81 = 1 remainder 75 |
| 3 | 81 ÷ 75 = 1 remainder 6 |
| 4 | 75 ÷ 6 = 12 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 111 | 4440 |
| 95 and 110 | 2090 |
| 160 and 36 | 1440 |
| 156 and 109 | 17004 |
| 51 and 28 | 1428 |