Least Common Multiple (LCM) of 136 and 30
The least common multiple (LCM) of 136 and 30 is 2040.
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 30?
First, calculate the GCD of 136 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 30 = 4 remainder 16 |
| 2 | 30 ÷ 16 = 1 remainder 14 |
| 3 | 16 ÷ 14 = 1 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 99 | 12276 |
| 66 and 184 | 6072 |
| 36 and 84 | 252 |
| 163 and 96 | 15648 |
| 135 and 57 | 2565 |