Least Common Multiple (LCM) of 65 and 94
The least common multiple (LCM) of 65 and 94 is 6110.
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 65 and 94?
First, calculate the GCD of 65 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 65 ÷ 94 = 0 remainder 65 |
| 2 | 94 ÷ 65 = 1 remainder 29 |
| 3 | 65 ÷ 29 = 2 remainder 7 |
| 4 | 29 ÷ 7 = 4 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 185 | 27935 |
| 172 and 116 | 4988 |
| 81 and 114 | 3078 |
| 177 and 38 | 6726 |
| 133 and 92 | 12236 |