Least Common Multiple (LCM) of 94 and 137
The least common multiple (LCM) of 94 and 137 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 94 and 137?
First, calculate the GCD of 94 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 137 = 0 remainder 94 |
| 2 | 137 ÷ 94 = 1 remainder 43 |
| 3 | 94 ÷ 43 = 2 remainder 8 |
| 4 | 43 ÷ 8 = 5 remainder 3 |
| 5 | 8 ÷ 3 = 2 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 82 | 8118 |
| 112 and 194 | 10864 |
| 109 and 12 | 1308 |
| 115 and 125 | 2875 |
| 150 and 14 | 1050 |