Least Common Multiple (LCM) of 146 and 78
The least common multiple (LCM) of 146 and 78 is 5694.
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 146 and 78?
First, calculate the GCD of 146 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 78 = 1 remainder 68 |
| 2 | 78 ÷ 68 = 1 remainder 10 |
| 3 | 68 ÷ 10 = 6 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 31 | 4030 |
| 116 and 172 | 4988 |
| 168 and 75 | 4200 |
| 161 and 165 | 26565 |
| 111 and 93 | 3441 |