Least Common Multiple (LCM) of 152 and 81
The least common multiple (LCM) of 152 and 81 is 12312.
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 152 and 81?
First, calculate the GCD of 152 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 81 = 1 remainder 71 |
| 2 | 81 ÷ 71 = 1 remainder 10 |
| 3 | 71 ÷ 10 = 7 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 138 | 8418 |
| 65 and 17 | 1105 |
| 152 and 79 | 12008 |
| 196 and 117 | 22932 |
| 165 and 27 | 1485 |