Least Common Multiple (LCM) of 136 and 186
The least common multiple (LCM) of 136 and 186 is 12648.
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 186?
First, calculate the GCD of 136 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 186 = 0 remainder 136 |
| 2 | 186 ÷ 136 = 1 remainder 50 |
| 3 | 136 ÷ 50 = 2 remainder 36 |
| 4 | 50 ÷ 36 = 1 remainder 14 |
| 5 | 36 ÷ 14 = 2 remainder 8 |
| 6 | 14 ÷ 8 = 1 remainder 6 |
| 7 | 8 ÷ 6 = 1 remainder 2 |
| 8 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 125 | 6750 |
| 115 and 41 | 4715 |
| 141 and 168 | 7896 |
| 100 and 99 | 9900 |
| 31 and 198 | 6138 |