Least Common Multiple (LCM) of 188 and 137
The least common multiple (LCM) of 188 and 137 is 25756.
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 137?
First, calculate the GCD of 188 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 137 = 1 remainder 51 |
| 2 | 137 ÷ 51 = 2 remainder 35 |
| 3 | 51 ÷ 35 = 1 remainder 16 |
| 4 | 35 ÷ 16 = 2 remainder 3 |
| 5 | 16 ÷ 3 = 5 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 54 | 2322 |
| 112 and 18 | 1008 |
| 159 and 122 | 19398 |
| 87 and 122 | 10614 |
| 151 and 83 | 12533 |