Least Common Multiple (LCM) of 81 and 151
The least common multiple (LCM) of 81 and 151 is 12231.
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 151?
First, calculate the GCD of 81 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 151 = 0 remainder 81 |
| 2 | 151 ÷ 81 = 1 remainder 70 |
| 3 | 81 ÷ 70 = 1 remainder 11 |
| 4 | 70 ÷ 11 = 6 remainder 4 |
| 5 | 11 ÷ 4 = 2 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 65 | 7735 |
| 24 and 33 | 264 |
| 149 and 58 | 8642 |
| 195 and 74 | 14430 |
| 21 and 10 | 210 |