Least Common Multiple (LCM) of 92 and 137
The least common multiple (LCM) of 92 and 137 is 12604.
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 92 and 137?
First, calculate the GCD of 92 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 137 = 0 remainder 92 |
| 2 | 137 ÷ 92 = 1 remainder 45 |
| 3 | 92 ÷ 45 = 2 remainder 2 |
| 4 | 45 ÷ 2 = 22 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 49 | 2793 |
| 53 and 127 | 6731 |
| 42 and 52 | 1092 |
| 195 and 96 | 6240 |
| 117 and 146 | 17082 |