Least Common Multiple (LCM) of 146 and 68
The least common multiple (LCM) of 146 and 68 is 4964.
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 68?
First, calculate the GCD of 146 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 68 = 2 remainder 10 |
| 2 | 68 ÷ 10 = 6 remainder 8 |
| 3 | 10 ÷ 8 = 1 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 101 | 13837 |
| 38 and 127 | 4826 |
| 176 and 42 | 3696 |
| 196 and 135 | 26460 |
| 73 and 115 | 8395 |