Least Common Multiple (LCM) of 136 and 146
The least common multiple (LCM) of 136 and 146 is 9928.
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 136 and 146?
First, calculate the GCD of 136 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 146 = 0 remainder 136 |
| 2 | 146 ÷ 136 = 1 remainder 10 |
| 3 | 136 ÷ 10 = 13 remainder 6 |
| 4 | 10 ÷ 6 = 1 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 171 | 21375 |
| 30 and 90 | 90 |
| 97 and 184 | 17848 |
| 128 and 66 | 4224 |
| 52 and 134 | 3484 |