Least Common Multiple (LCM) of 186 and 136
The least common multiple (LCM) of 186 and 136 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 186 and 136?
First, calculate the GCD of 186 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 136 = 1 remainder 50 |
| 2 | 136 ÷ 50 = 2 remainder 36 |
| 3 | 50 ÷ 36 = 1 remainder 14 |
| 4 | 36 ÷ 14 = 2 remainder 8 |
| 5 | 14 ÷ 8 = 1 remainder 6 |
| 6 | 8 ÷ 6 = 1 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 88 | 3784 |
| 118 and 115 | 13570 |
| 46 and 11 | 506 |
| 109 and 150 | 16350 |
| 18 and 87 | 522 |