Least Common Multiple (LCM) of 136 and 150
The least common multiple (LCM) of 136 and 150 is 10200.
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 150?
First, calculate the GCD of 136 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 150 = 0 remainder 136 |
| 2 | 150 ÷ 136 = 1 remainder 14 |
| 3 | 136 ÷ 14 = 9 remainder 10 |
| 4 | 14 ÷ 10 = 1 remainder 4 |
| 5 | 10 ÷ 4 = 2 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 68 | 3196 |
| 159 and 126 | 6678 |
| 116 and 41 | 4756 |
| 72 and 59 | 4248 |
| 185 and 97 | 17945 |