Least Common Multiple (LCM) of 188 and 136
The least common multiple (LCM) of 188 and 136 is 6392.
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 188 and 136?
First, calculate the GCD of 188 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 136 = 1 remainder 52 |
| 2 | 136 ÷ 52 = 2 remainder 32 |
| 3 | 52 ÷ 32 = 1 remainder 20 |
| 4 | 32 ÷ 20 = 1 remainder 12 |
| 5 | 20 ÷ 12 = 1 remainder 8 |
| 6 | 12 ÷ 8 = 1 remainder 4 |
| 7 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 137 | 14933 |
| 125 and 47 | 5875 |
| 25 and 62 | 1550 |
| 12 and 108 | 108 |
| 115 and 120 | 2760 |