Least Common Multiple (LCM) of 137 and 94
The least common multiple (LCM) of 137 and 94 is 12878.
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 137 and 94?
First, calculate the GCD of 137 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 94 = 1 remainder 43 |
| 2 | 94 ÷ 43 = 2 remainder 8 |
| 3 | 43 ÷ 8 = 5 remainder 3 |
| 4 | 8 ÷ 3 = 2 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 86 | 8686 |
| 46 and 174 | 4002 |
| 168 and 73 | 12264 |
| 66 and 47 | 3102 |
| 193 and 126 | 24318 |