Least Common Multiple (LCM) of 145 and 94
The least common multiple (LCM) of 145 and 94 is 13630.
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 145 and 94?
First, calculate the GCD of 145 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 94 = 1 remainder 51 |
| 2 | 94 ÷ 51 = 1 remainder 43 |
| 3 | 51 ÷ 43 = 1 remainder 8 |
| 4 | 43 ÷ 8 = 5 remainder 3 |
| 5 | 8 ÷ 3 = 2 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 193 | 10422 |
| 107 and 62 | 6634 |
| 174 and 121 | 21054 |
| 105 and 143 | 15015 |
| 86 and 41 | 3526 |