Least Common Multiple (LCM) of 94 and 146
The least common multiple (LCM) of 94 and 146 is 6862.
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 94 and 146?
First, calculate the GCD of 94 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 146 = 0 remainder 94 |
| 2 | 146 ÷ 94 = 1 remainder 52 |
| 3 | 94 ÷ 52 = 1 remainder 42 |
| 4 | 52 ÷ 42 = 1 remainder 10 |
| 5 | 42 ÷ 10 = 4 remainder 2 |
| 6 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 74 | 7622 |
| 80 and 76 | 1520 |
| 189 and 178 | 33642 |
| 189 and 148 | 27972 |
| 152 and 83 | 12616 |