Least Common Multiple (LCM) of 81 and 72
The least common multiple (LCM) of 81 and 72 is 648.
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 72?
First, calculate the GCD of 81 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 72 = 1 remainder 9 |
| 2 | 72 ÷ 9 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 94 | 1504 |
| 178 and 75 | 13350 |
| 147 and 88 | 12936 |
| 129 and 13 | 1677 |
| 123 and 113 | 13899 |