Least Common Multiple (LCM) of 135 and 146
The least common multiple (LCM) of 135 and 146 is 19710.
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 135 and 146?
First, calculate the GCD of 135 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 146 = 0 remainder 135 |
| 2 | 146 ÷ 135 = 1 remainder 11 |
| 3 | 135 ÷ 11 = 12 remainder 3 |
| 4 | 11 ÷ 3 = 3 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 22 and 152 | 1672 |
| 101 and 95 | 9595 |
| 188 and 47 | 188 |
| 44 and 174 | 3828 |
| 118 and 184 | 10856 |