Least Common Multiple (LCM) of 89 and 92
The least common multiple (LCM) of 89 and 92 is 8188.
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 89 and 92?
First, calculate the GCD of 89 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 89 ÷ 92 = 0 remainder 89 |
| 2 | 92 ÷ 89 = 1 remainder 3 |
| 3 | 89 ÷ 3 = 29 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 21 | 3444 |
| 185 and 141 | 26085 |
| 118 and 131 | 15458 |
| 194 and 76 | 7372 |
| 111 and 14 | 1554 |