Least Common Multiple (LCM) of 192 and 137
The least common multiple (LCM) of 192 and 137 is 26304.
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 192 and 137?
First, calculate the GCD of 192 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 137 = 1 remainder 55 |
| 2 | 137 ÷ 55 = 2 remainder 27 |
| 3 | 55 ÷ 27 = 2 remainder 1 |
| 4 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 102 | 18462 |
| 114 and 125 | 14250 |
| 51 and 22 | 1122 |
| 12 and 38 | 228 |
| 127 and 36 | 4572 |