Least Common Multiple (LCM) of 81 and 153
The least common multiple (LCM) of 81 and 153 is 1377.
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 153?
First, calculate the GCD of 81 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 153 = 0 remainder 81 |
| 2 | 153 ÷ 81 = 1 remainder 72 |
| 3 | 81 ÷ 72 = 1 remainder 9 |
| 4 | 72 ÷ 9 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 74 | 11026 |
| 163 and 107 | 17441 |
| 124 and 86 | 5332 |
| 171 and 186 | 10602 |
| 21 and 94 | 1974 |